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FSC/ICS Part 1 Math Solution (11th Class) – Punjab Board Solved Exercises @math-11-pectaa
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ew|click here]] to get from official link. ===== Online View===== {{include>math-11-pectaa-sol.php}} ===... 1-pectaa/sol?f=math11-pectaa-ex1-1-hassan-mehboob#online_view|View Online]] * **Exercise 1.2** * {{ :math-11-pectaa:math11-pectaa-ex1-2-hassan-mehboob.pdf ... 1-pectaa/sol?f=math11-pectaa-ex1-2-hassan-mehboob#online_view|View Online]] * * **Exercise 1.3** *
Solutions: Math 12 NBF @math-12-nbf
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the understanding and knowledge. </lead> ===== Online View===== {{include>math-12-nbf-sol.php}} =====... [math-12-nbf/sol?f=math12-nbf-ex1-1-m-aftab-hanif#online_view|View Online]] * **Exercise 1.2** * {{ :math-12-nbf:math12-nbf-ex1-2-m-aftab-hanif.pdf |Downlo... [math-12-nbf/sol?f=math12-nbf-ex1-2-m-aftab-hanif#online_view|View Online]] * **Exercise 1.3** * {{
Solutions: Math 9th PCTB @math-9th-pctb
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ew|click here]] to get from official link. ===== Online View===== {{include>math-9th-pctb.php}} ===== Un... ctb/sol?f=math9-pctb-sol-ex1-1-sheraz-ansari|View Online]] * **Exercise 1.2** UPD * {{ :math-9th-pct... ctb/sol?f=math9-pctb-sol-ex1-2-sheraz-ansari|View Online]] * **Exercise 1.3** UPD * {{ :math-9th-pct... ctb/sol?f=math9-pctb-sol-ex1-3-sheraz-ansari|View Online]] * **Review Exercise** UPD * {{ :math-9th-
CSC456: Stochastic Processes (Fall 2025) @atiq
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F}} - VIEW [[:atiq:fa25-csc456?f=probability#online_view|View Online]] - Markov Chain Handout - {{ :atiq:markov-chain.pdf |Download PDF}} - VIEW [[:atiq:fa25-csc456?f=markov-chain#online_view|View Online]] - Transforming a Process into a Markov Chain - {{ :atiq:transforming_a_process_
Mathematics 10 (Science Group) @matric
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it01-view?f=10th-science-ex-1-1-amir-shehzad|View Online]] | {{ :matric:10th_science:10th-science-ex-1-1-a... it01-view?f=10th-science-ex-1-2-amir-shehzad|View Online]] | {{ :matric:10th_science:10th-science-ex-1-2-a... it01-view?f=10th-science-ex-1-3-amir-shehzad|View Online]] | {{ :matric:10th_science:10th-science-ex-1-3-a... it01-view?f=10th-science-ex-1-4-amir-shehzad|View Online]] | {{ :matric:10th_science:10th-science-ex-1-4-a
MCQs by Muhammad Imran Qureshi @fsc:fsc_part_1_mcqs
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sc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi:online_view&cp=1&p=6&fp=Objective_Ch_1_FSC_part1_imran|View Online]] | [[pdf>files/fsc/fsc_part1/MCQs_Imran/dn.php?... sc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi:online_view&cp=1&p=2&fp=Objective_Ch_2_FSC_part1_imran|View Online]] | [[pdf>files/fsc/fsc_part1/MCQs_Imran/dn.php?
MCQs by Nauman Idrees @fsc:fsc_part_1_mcqs
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[[mdoku>fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees:online_view&cp=1&p=4&fp=MCQ_Ch_1_FSC_part1_Nauman|View Online]] | [[pdf>files/fsc/fsc_part1/MCQs_Nauman/dn.php?... [[mdoku>fsc:fsc_part_1_mcqs:mcqs_by_nauman_idrees:online_view&cp=1&p=5&fp=MCQ_Ch_2_FSC_part1_Nauman|View Online]] | [[pdf>files/fsc/fsc_part1/MCQs_Nauman/dn.php?
MTH104: Calculus & Analytical Geometry @atiq
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}} | VIEW [[:atiq:fa24-mth104?f=fa24-mth104-lec01#online_view|View Online]] * **Lecture 2** | {{:atiq:fa24-mth104-lec02.pdf |Download PDF}} | VIEW [[:atiq:fa24-mth104?f=fa24-mth104-lec02#online_view|View Online]] * **Lecture 3** | {{:atiq:fa24-mth104-lec03.pdf |Download PDF}} | VIEW [[:atiq:fa24-
MTH322: Real Analysis II (Fall 2020) @atiq
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atiq:fa20-mth322?f=fa20-mth322-review-riemann-sum#online_view|View Online]] * Ch01: Improper Integrals of 1st and 2nd Kinds | {{ :atiq:fa20-mth322-ch01.pdf |Do... F}} | VIEW [[:atiq:fa20-mth322?f=fa20-mth322-ch01#online_view|View Online]] * Review: Sequence & Series | {{ :atiq:fa20-mth322-pre-ch02.pdf |Download PDF}} | V
CSC456: Stochastic Processes (Spring 2026) @atiq
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26-csc456?f=01-stochastic-process-and-probability#online_view|View Online]] * 2. Markov Chain - {{ :atiq:02-markov-chain.pdf |Download PDF}} - VIEW [[:atiq:sp26-csc456?f=02-markov-chain#online_view|View Online]] * 4. Chapman Kolmogorov Theorem - {{ :atiq:chapman_kolmogorov-equation.pdf |Do
Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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ut type="success" icon="fa fa-download"> ====View online or download PDF==== * Exercise 4.1 | [[mdoku>f... 04:viewer&cp=1&p=6&ch=04&fp=Ex_4_1_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex... 4:viewer&cp=1&p=13&ch=04&fp=Ex_4_2_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex... 4:viewer&cp=1&p=10&ch=04&fp=Ex_4_3_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex
MTH321: Real Analysis I (Fall 2019) @atiq
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F}} | VIEW [[:atiq:fa19-mth321?f=fa19-mth321-ch01#online_view|View Online]] * **Chapter 02: Sequences** | {{:atiq:fa19-mth321-ch02.pdf |Download PDF}} | VIEW [[:atiq:fa19-mth321?f=fa19-mth321-ch02#online_view|View Online]] * **Chapter 03: Series** | {{:atiq:fa19-mth321-ch03.pdf |Download PDF}} | VIEW [[:a
MTH321: Real Analysis I (Fall 2021) @atiq
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}} | VIEW [[:atiq:fa21-mth321?f=fa21-mth321-ch01#online_view|View Online]] * **Chapter 02: Sequences** | {{:atiq:fa21-mth321-ch02.pdf |Download PDF}} | VIEW [[:atiq:fa21-mth321?f=fa21-mth321-ch02#online_view|View Online]] * **Chapter 03: Series** | {{:atiq:fa21-mth321-ch03.pdf |Download PDF}} | VIEW [[:
Chapter 08: Analytic Geometry of Three Dimensions @bsc:notes_of_calculus_with_analytic_geometry
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alc08>ch08/Chap-08-Solutions-Ex-8-1-Calculus|View Online]] * Exercise 8.2 | {{:bsc:notes_of_calculus_... alc08>ch08/Chap-08-Solutions-Ex-8-2-Calculus|View Online]] * Exercise 8.3 | {{:bsc:notes_of_calculus... alc08>ch08/Chap-08-Solutions-Ex-8-3-Calculus|View Online]] * Exercise 8.4 | {{:bsc:notes_of_calculus... alc08>ch08/Chap-08-Solutions-Ex-8-4-Calculus|View Online]] * Exercise 8.5 | {{:bsc:notes_of_calculus_
University of the Punjab, Lahore (Old Papers) @papers:old_papers_for_bsc_mathematics
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sity:view&cp=1&p=2&fp=PU_BSc_A_Maths_A_A2011|View Online]] | [[pdf>files/bsc/papers/Punjab_University/... sity:view&cp=1&p=2&fp=PU_BSc_A_Maths_B_A2011|View Online]] | [[pdf>files/bsc/papers/Punjab_University/... sity:view&cp=1&p=2&fp=PU_BSc_B_Maths_A_A2011|View Online]] | [[pdf>files/bsc/papers/Punjab_University/... sity:view&cp=1&p=2&fp=PU_BSc_B_Maths_B_A2011|View Online]] | [[pdf>files/bsc/papers/Punjab_University/
MTH321: Real Analysis I (Fall 2022) @atiq
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MTH321: Real Analysis I (Spring 2023) @atiq
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MTH322: Real Analysis II (Fall 2021) @atiq
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MTH322: Real Analysis II (Spring 2023) @atiq
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Online View @fsc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi
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Old Papers of M.Phil. Quaid-e-Azam University. @papers
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Short Questions by Mr. Akhtar Abbas @fsc:fsc_part_1_mcqs
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Chapter 06: Sequences and Series @fsc:fsc_part_1_solutions
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MCQs by Muhammad Imran Qureshi @fsc:fsc_part_2_mcqs
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MCQs by Nauman Idrees @fsc:fsc_part_2_mcqs
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MTH322: Real Analysis II (Fall 2016) @atiq
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MTH424: Convex Analysis (Fall 2020) @atiq
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MTH322: Real Analysis II (Spring 2019) @atiq
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Chapter 02: The Derivative @bsc:notes_of_calculus_with_analytic_geometry
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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Khuram Ali Khan
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FSc Part 1 (KPK Boards) @fsc
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Chapter 09: First Order Differential Equations @bsc:notes_of_mathematical_method
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MTH424: Convex Analysis (Spring 2025) @atiq
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General Mathematics 9 @matric
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Amir Shehzad @people
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Chapter 01: Complex Numbers @bsc:notes_of_mathematical_method
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Chapter 10: Higher Order Linear Differential Equations @bsc:notes_of_mathematical_method
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MTH322: Real Analysis II (Fall 2017) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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Chapter 06: Plane Curves I @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 07: Plane Curves II @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 09: Functions of Several Variables @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 03: Matrices and Determinants @fsc:fsc_part_1_solutions
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Unit 06: Conic Section @fsc:fsc_part_2_solutions
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MTH321: Real Analysis I (Fall 2018) @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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MTH251: Set Topology (Spring 25) @atiq
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Chapter 02: Sets, Functions and Groups @fsc:fsc_part_1_solutions
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Chapter 07: Permutation, Combination and Probability @fsc:fsc_part_1_solutions
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Chapter 12: Application of Trigonometry @fsc:fsc_part_1_solutions
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Unit 03: Integration @fsc:fsc_part_2_solutions
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Open MCQs of Mathematics 11 @math-11-pectaa:mcqs
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MTH322: Real Analysis II (Fall 2018) @atiq
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MTH731: Topology @atiq
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MTH424: Convex Analysis (Spring 2024) @atiq
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Umer Asghar @people
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Chapter 01: Real Numbers, Limits and Continuity @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 11: The Laplace Transform @bsc:notes_of_mathematical_method
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Notes of Mechanics by Tariq Mahmood Qadri @bsc:notes_of_mechanics
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Chapter 09: Fundamentals of Trigonometry @fsc:fsc_part_1_solutions
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Atiq ur Rehman, PhD
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MTH604: Fixed Point Theory and Applications @atiq
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Chapter 04: Techniques of Integration @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 02: Groups @bsc:notes_of_mathematical_method
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Chapter 07: Inner Product Spaces @bsc:notes_of_mathematical_method
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Chapter 08: Rectilinear Motion @bsc:notes_of_mechanics:introduction_to_mechanics
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MTH322: Real Analysis II (Fall 2019) @atiq
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MTH604: Fixed Point Theory and Applications (Fall 2022) @atiq
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MTH604: Fixed Point Theory and Applications (Spring 2020) @atiq
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MTH604: Fixed Point Theory and Applications (Spring 2021) @atiq
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MTH322: Real Analysis II (Spring 2022) @atiq
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Formula Pages @bsc
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FSc Part 1 Model Papers @fsc
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Chapter 03: General Theorem, Intermediate Forms @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 05: The Definite Integral @bsc:notes_of_calculus_with_analytic_geometry
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Unit 04: Introduction to Analytic Geometry @fsc:fsc_part_2_solutions
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Unit 05: Linear Inequalities and Linear Programming @fsc:fsc_part_2_solutions
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Unit 07: Vectors @fsc:fsc_part_2_solutions
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MTH322: Real Analysis II (Spring 2016) @atiq
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Notes of Vector Analysis @bsc
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FSc Part 2 (KPK Boards) @fsc
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Mathematics 9 (Science Group) @matric
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Open Notes on Metric Spaces @open-notes
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Open Notes on Real Analysis I @open-notes
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Chapter 04: Techniques of Integration @bsc:notes_of_calculus_with_analytic_geometry
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Chapter 06: Vector Spaces @bsc:notes_of_mathematical_method
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Chapter 08: Infinite Series @bsc:notes_of_mathematical_method
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Chapter 05: Partial Fractions @fsc:fsc_part_1_solutions
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Chapter 10: Trigonometric Identities @fsc:fsc_part_1_solutions
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Chapter 07: Kinematics @bsc:notes_of_mechanics:introduction_to_mechanics
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MATH 102: Calculus II @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MTH251: Set Topology (Spring 18) @atiq
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MTH211: Discrete Mathematics (Spring 2020) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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Vector Analysis by Hameed Ullah: Notes @bsc
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FSc Part 2 Model Papers @fsc
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Old Papers of M.Phil. University of Sargodha @papers
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Chapter 03: Matrices @bsc:notes_of_mathematical_method
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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Chapter 08: Mathematical Induction and Binomial Theorem @fsc:fsc_part_1_solutions
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Chapter 13: Inverse Trigonometric Functions @fsc:fsc_part_1_solutions
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MTH424: Convex Analysis @atiq
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MTH480: Introductory Quantum Mechanics @atiq
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Complex Analysis (Easy Notes of Complex Analysis) @notes
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Notes for Numerical Methods by M Usman Hamid @notes
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Rings (Handwritten notes) by Atiq ur Rehman @notes
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Muhammad Fiaz Hussain @people
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PPSC Mock Interview Lecturer Mathematics @ppsc
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Chapter 05: Determinants @bsc:notes_of_mathematical_method
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Chapter 11: Trigonometric Functions and their Graphs @fsc:fsc_part_1_solutions
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Chapter 14: Solutions of Trigonometric Equation @fsc:fsc_part_1_solutions
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Unit 08: Linear Graph and their Application @matric:9th_science
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Unit 11: Parallelograms and Triangles @matric:9th_science
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Chapter 02: Composition of Forces @bsc:notes_of_mechanics:introduction_to_mechanics
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Chapter 04: Centres of Mass and Gravity @bsc:notes_of_mechanics:introduction_to_mechanics
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Chapter 05: Friction @bsc:notes_of_mechanics:introduction_to_mechanics
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Chapter 06: Virtual Work @bsc:notes_of_mechanics:introduction_to_mechanics
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Chapter 10: Motion of a Projectile @bsc:notes_of_mechanics:introduction_to_mechanics
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MTH103: Exploring Quantitative Skills @atiq
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MTH324: Complex Analysis (Fall 2025) @atiq
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MATH-731: Convex Analysis @atiq
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MTH633: Advanced Convex Analysis (Spring 2019) @atiq
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Number Theory by Prof. Asghar Ali @bsc
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22nd International Pure Mathematics Conference on Algebra, Analysis and Geometry (23 to 25 August 2021) @events
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1st SIBAU-NU International Workshop on Matrix Analysis and Linear Algebra (15-17 October 2021) @events
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Solution and Area of Oblique Triangle @fsc-part1-ptb
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Trigonometric Formulas @fsc-part1-ptb
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Subjective Mathematics 12th by Muhammad Shahbaz @fsc-part2-ptb
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Old Papers (FSc Part 2) @fsc
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Advance Functional Analysis by Waseem Akram @notes
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Advance Functional Analysis by Waseem Akram @notes
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Advanced Analysis: Handwritten Notes @notes
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Algebra II by Syed Sheraz Asghar @notes
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Algebraic Number Theory Notes by Anwar Khan @notes
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Complex Analysis (Quick Review) @notes
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Computing Tools for Mathematics by Asif Arshad @notes
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Differential Geometry: Handwritten Notes @notes
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Differential Geometry by M Usman Hamid @notes
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Differential Geometry by Syed Hassan Waqas @notes
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Fluid Mechanics by Ali Raza @notes
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Fluid Mechanics I by Dr Rao Muzamal Hussain @notes
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Fluid Mechanics II by Dr Rao Muzamal Hussain @notes
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Fluid Mechanics by Muhammad Usman Hamid @notes
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Functional Analysis by Prof Mumtaz Ahmad @notes
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General Topology by Raheel Ahmad @notes
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Group Theory: Important Definitions and Results @notes
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Groups (Handwritten Notes) by Atiq ur Rehman @notes
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Group Theory by Mr. Muhammad Iftikhar @notes
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Linear Algebra: Important Definitions and Results @notes
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Mathematical Method by Sir Muhammad Awais Aun @notes
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Mathematical Statistics I by Muzammil Tanveer @notes
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Mathematical Statistics II by Sir Haidar Ali @notes
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Measure Theory Notes by Anwar Khan @notes
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Measure Theory Handwritten Notes by Asim Marwat @notes
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Measure Theory by M Usman Hamid & Saima Akram @notes
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Mechanics (Easy Notes of Mechanics) @notes
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Mechanics by Sir Nouman Siddique @notes
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Metric Spaces (Notes) @notes
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Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas @notes
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Multivariable Calculus by M Usman Hamid and M Zeeshan Ahmad @notes
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Multivariable Calculus by Sheikh Muhammad Saleem Shahzad @notes
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Number Theory: Handwritten Notes @notes
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Number Theory Notes by Anwar Khan @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Numerical Analysis by M Usman Hamid @notes
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Numerical Analysis II @notes
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Operation Research by Sir Haidar Ali @notes
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Operation Research: Handwritten Notes @notes
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Ordinary Differential Equations (ODE) by Hammad Safi @notes
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Partial Differential Equations (PDE) by M Usman Hamid @notes
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Partial Differential Equations (PDE) by Muzammil Tanveer @notes
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Quantitative Reasoning-I (QR1: Exploring Quantitative Skills) @notes
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Quantitative Reasoning II (QR2: Tools for Reasoning Skills) @notes
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Real Analysis Handwritten Notes by Kaushef Salamat @notes
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Real Analysis Notes by Prof Syed Gul Shah @notes
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Ring (Notes) by Prof. M. Dabeer Mughal @notes
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Special Functions by Dr. Muhey-U-Din @notes
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Theory of Optimization by Ma'am Iqra Razzaq @notes
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Theory of Relativity & Analytic Dynamics: Handwritten Notes @notes
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Topology and Functional Analysis Solved Paper by Noman Khalid @notes
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Topology: Handwritten Notes @notes
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Vector Spaces (Handwritten notes) @notes
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Vector & Tensor Analysis by Dr Nawazish Ali (Solutions) @notes
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Vector Space (Review) by Rashad Wattu @notes
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Akhtar Abbas @people
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Chapter 04: System of Linear Equations @bsc:notes_of_mathematical_method
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MCQs Made by Nauman Idrees @fsc:fsc_part_1_mcqs
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MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
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Chapter 04 - Differentiation @msc:real_analysis_notes_by_syed_gul_shah
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Chapter 03 - Limits and Continuity @msc:real_analysis_notes_by_syed_gul_shah
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Chapter 01 - Real Number System @msc:real_analysis_notes_by_syed_gul_shah
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Chapter 02 - Sequence and Series @msc:real_analysis_notes_by_syed_gul_shah
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Unit 04 :Algebraic Expressions and Algebraic Formulas: Online View @matric:9th_science:unit_04
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Unit 05: Factorization: Online View @matric:9th_science:unit_05
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Mathematical Events
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MTH321: Real Analysis 1 @atiq
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MTH321: Real Analysis I (Fall 2015) @atiq
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MTH611: Integral Inequalities (Fall 2019) @atiq
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MATH-510: Topology @atiq
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MATH-510: Topology @atiq
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MATH-608: History of Mathematics @atiq
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MATH-608: Research Methodology @atiq
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MTH251: Set Topology (Spring 25) @atiq
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MTH231: Linear Algebra @atiq
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MTH321: Real Analysis 1 @atiq
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MTH633: Advanced Convex Analysis @atiq
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MTH321: Real Analysis 1 (Spring 2015) @atiq
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MTH633: Advanced Convex Analysis (Spring 2015) @atiq
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MTH633: Advanced Convex Analysis (Spring 2017) @atiq
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MTH321: Real Analysis I (Spring 2020) @atiq
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MTH480: Introductory Quantum Mechanics @atiq
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Number Theory by Prof. M. Tanveer @bsc
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13th International Pure Mathematics Conference 2012, Islamabad (1-3 September, 2012) @conferences
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Advance Analysis by Ms. Iqra Liaqat @notes
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Affine and Euclidean Geometry by Shahzad Idress @notes
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Complex Analysis by M Usman Hamid @notes
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Fluid Dynamics I by Muhammad Usman Hamid @notes
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Fundamental of Complex Analysis (Solutions of Some Exercises) @notes
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Fuzzy Sets Theory by Umar Saeed Bunarai @notes
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General Topology by Azhar Hussain @notes
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Handwritten Notes of Real Analysis by Asim Marwat @notes
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Special Theory of Relativity by M Usman Hamid and M Zeeshan Ahmad @notes
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Ammar Mujahid @people
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Muhammad Idrees @people
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PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
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