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Khuram Ali Khan
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arch:** Difference and functional equations, Real functions, Mathematical inequalities involving convex functions, Time Scales Calculus, Soft Sets </WRAP> <WRAP half co... Discrete Jensen's Inequality for Operator Convex Functions, J. Math. Comput. Sci., vol. 2 (2012), No. 3, 656... rić, A Note on Popoviciu Inequality for 2D-Convex Functions, Annals of the University of Craiova, Mathematics
Atiq ur Rehman, PhD
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arch:** Difference and functional equations, Real functions, Inequalities in monotonic and convex functions * See profile at [[https://mathscinet.ams.org/mathscinet/... of Hadamard type for exponentially (s, m)-convex functions, AIMS Mathematics, 6(1) (2021), 882–892. 51. A.U... rd and Fejér inequalities for harmonically convex functions, Journal of Inequalities and Applications, 2020:1
FSc Part 2 (KPK Boards) @fsc
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: | PDF Scanned (Handwritten) | ===== Unit 01: Functions and Limits ===== {{ :fsc:kpk_fsc_part_2:kpk-unit1... e able to: * identify the domain and range of a functions through graphs. * draw the graph of modulus fun... ction and then to find out the composition of two functions. * describe the inverse of a function and then to find out the inverse of composition of two functions. * recognize the algebraic and transcendental f
MTH322: Real Analysis II (Spring 2023) @atiq
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]]. ===== Course Contents: ===== **Sequences of functions:** Convergence, uniform convergence, uniform conv... ntial and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test, power series of functions, radius of convergence, Cauchy-Hadamard theorem,
MTH322: Real Analysis II (Fall 2021) @atiq
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]]. ===== Course Contents: ===== **Sequences of functions:** convergence, uniform convergence, uniform conv... ntial and logarithmic function, the trigonometric functions. **Series of functions:** Absolute convergence, uniform convergence, Cauchy criterion, Weiestrass M-test, power series of functions, radius of convergence, Cauchy-Hadamard theorem,
FSc Part 1 (KPK Boards) @fsc
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orem|Online view]]** </callout> ===== Chapter 8: Functions and Graphs ===== === Objectives === After reading... le to * know linear, quadratic and square root functions. * define inverse functions and find their domain and range. * sketch the graph of the function $y=x^n$ ... rsecting point of intersecting graphs of a linear functions and coordinate axes, two linear functions and a l
General Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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ves. Leibnitz’s theorem. Limits and continuity of functions of two variables. Partial differentiation and its geometrical meaning for functions of two variables. Euler’s theorem. Increments and... ofs) and indeterminate forms. L’ Hospital rule of functions. Increasing and decreasing functions. ==== SECTION-II (4/12: 16,16,16,16) ==== Translation and rotation of
Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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====== Unit 01: Functions and Limits ====== {{ :fsc:fsc_part_2_solutions:fsc-2-unit-01-ptb.jpg?nolink|Unit 01: Functions and Limits}} Notes (Solutions) of Unit 01: Functions and Limits, Calculus and Analytic Geometry, MATHEMATICS... nd Values of a Function * Graphs of Algebraic functions * Graph of Functions Defined Piece-Wise * T
MTH103: Exploring Quantitative Skills @atiq
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linear models, including rectangular coordinates, functions, empowering them to analyze real-world problems w... ng Strategy and Problem solving using sets. === Functions: === Introduction to functions, rates of change, composition of functions, transformation of functions, absolute value function, inverse fu
Fundamental of Complex Analysis (Solutions of Some Exercises) @notes
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ome Exercises}} Complex analysis is the study of functions that exist in the complex plane, that is, functions with complex arguments and complex outputs. With roots i... , Weierstrass, and many others. Studying complex functions and their characteristics, such as continuity, di... imit, continuity and differentiability of complex functions. * Uniform continuity. * Analytic or regular
MTH424: Convex Analysis (Fall 2020) @atiq
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e concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ... ir properties, Best approximation theorem. Convex functions, Basic definitions, properties, various generalizations, Differentiable convex functions, Hermite and Hadamard inequalities, Subgradient, ... main aim of this course is to learn about convex functions and discuss it properties. Here we give objective
Special Functions by Dr. Muhey-U-Din @notes
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====== Special Functions by Dr. Muhey-U-Din ====== These notes are provided and composed by Mr. [[:people:mu... the lectures by Dr. Muhey-U-Din. {{ notes:special-functions-muzammil-tanveer.jpg?nolink|Special Functions}} ^ Name |Special Functions | ^ Provider |Mr. Muzammil Tanveer | ^Lectured by |Dr. Muhey-U-Din | ^ Page
Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
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* Preliminaries: Real numbers and the real line; Functions and their graphs; Shifting and scaling graphs; So... f limits (without proofs); Continuity, Continuous functions Derivatives and its Applications: Differentiate functions; Differentiation of polynomial, rational and transcendental functions; Intermediate value theorem, Rolle’s theorem (wit
MATH-731: Convex Analysis @atiq
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====== MATH-731: Convex Analysis ====== Convex functions on the real line, Continuity and differentiability of convex functions, Characterizations, Differences of convex functions, Conjugate convex functions, Convex sets and affine sets, Convex functions on a normed linear space, Continu
A-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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ves. Leibnitz’s theorem. Limits and continuity of functions of two variables. Partial differentiation and its geometrical meaning for functions of two variables. Euler’s theorem. Increments and... e and its applications. Increasing and decreasing functions. Intermediate value theorem and its immediate con... pplications. Circular, logarithmic and hyperbolic functions. Separation into real and imaginary parts. =====
MTH322: Real Analysis II (Fall 2016) @atiq
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MATH-301: Complex Analysis @atiq
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MTH321: Real Analysis I (Spring 2023) @atiq
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Are the functions are same? @dyk
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Mathematical Method by Sir Muhammad Awais Aun @notes
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MTH321: Real Analysis I (Fall 2015) @atiq
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MTH322: Real Analysis II (Fall 2017) @atiq
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MTH321: Real Analysis I (Fall 2018) @atiq
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MTH321: Real Analysis I (Fall 2019) @atiq
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MTH321: Real Analysis I (Fall 2021) @atiq
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MTH321: Real Analysis I (Fall 2022) @atiq
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MATH-505: Complex Analysis @atiq
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MTH322: Real Analysis II (Spring 2016) @atiq
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MTH322: Real Analysis II (Spring 2017) @atiq
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MTH321: Real Analysis I (Spring 2020) @atiq
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MTH321: Real Analysis 1 @atiq
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MTH424: Convex Analysis @atiq
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MTH322: Real Analysis II (Fall 2018) @atiq
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MTH322: Real Analysis II (Fall 2020) @atiq
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MTH321: Real Analysis 1 @atiq
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MTH321: Real Analysis 1 (Spring 2015) @atiq
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MTH322: Real Analysis II (Spring 2019) @atiq
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MTH322: Real Analysis II (Spring 2022) @atiq
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MTH424: Convex Analysis (Spring 2024) @atiq
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MTH322: Real Analysis II (Fall 2015) @atiq
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MTH322: Real Analysis II (Fall 2019) @atiq
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MTH211: Discrete Mathematics (Fall 2020) @atiq
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Handwritten Notes of Real Analysis by Asim Marwat @notes
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Mathematical Method by Muhammad Usman Hamid @notes
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Measure Theory by M Usman Hamid & Saima Akram @notes
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Real Analysis Handwritten Notes by Kaushef Salamat @notes
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MTH611: Integral Inequalities (Fall 2019) @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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MTH211: Discrete Mathematics (Spring 2022) @atiq
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Notes of Fourier Series @bsc
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Important Questions @fsc-part1-ptb
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General Mathematics 9 @matric
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Advance Analysis by Ms. Iqra Liaqat @notes
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Complex Analysis (Notes) by Ms. Iqra Liaqat @notes
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Complex Analysis by M Usman Hamid @notes
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Real Analysis Notes by Prof Syed Gul Shah @notes
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Chapter 08: Function and Graphs @fsc:kpk_fsc_part_1
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Notes of Mathematics
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MATH 103: Number Theory @atiq
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MTH633: Advanced Convex Analysis @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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MTH604: Fixed Point Theory and Applications @atiq
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MTH633: Advanced Convex Analysis (Spring 2019) @atiq
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Some important series of functions @bsc
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MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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Unit 02: Differentiation @fsc:fsc_part_2_solutions
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Matric 9th (General): Online View @matric:9th_general
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Did you know?
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Software
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MATH 102: Calculus II @atiq
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CHEM-501: Basic Mathematics for Chemist @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MATH-300: Basic Mathematics for Chemist @atiq
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MATH-305: Real Analysis-I @atiq
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MATH-510: Topology @atiq
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MATH-510: Topology @atiq
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Notes of Calculus with Analytic Geometry @bsc
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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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Important Questions @fsc-part2-ptb
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Trigonometric Review @fsc
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Mathematics 10 (Science Group) @matric
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General Topology by Azhar Hussain @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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Number Theory Notes by Anwar Khan @notes
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Partial Differential Equations by M Usman Hamid @notes
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Amir Shehzad @people
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Quotes for the April @quote-of-the-day
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What is Mathematics? @atiq:math-608
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MCQs with key @fsc:fsc_part_2_mcqs
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Assessment Scheme @fsc:fsc_part_2_model_papers
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Question 8 and 9, Exercise 10.2 @math-11-kpk:sol:unit10
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