Week 13: Indefinite integrals and techniques of integration
Thomas Calculus, Early Transcendentals, 13th edition
Chapter 5 Integrals
Sec 5.5 Indefinite Integrals and the Substiution Method (pages: 339 - 346)
Chapter 8 Techniques of Integration
Sec 8.1 Using Basic integration Formulas (pages: 456 - 461)
Sec 8.2 Integration by Parts (pages: 461 - 469)
Sec 8.3 Trigonometric Integrals (pages 469 - 475)
Course Material
- Week 1: Preliminaries: Real numbers, intervals, distance formula, equations and graphs of circle and line
- Week 2: Functions of one variable and their graphs
- Week 3: Rates of change and tangents to curve, limits and continuity
- Week 4: Differentiation of functions of one variable, differentiation rules
- Week 5: Rules of differentiation, Properties of differentiable function
- Week 6: Implicit differentiation, differentials and linear approximation,
- Week 7: Application of derivatives: Extreme values of a function, maxima, minima, curvature
- Week 8: Indeterminate form and L'Hopital rule. applied optimization problems of function of one variable
- Week 9: Winter break, December 21 - 24, 2020
- Week 10: Mid Term Exams, December 28, 2020 - January 01, 2021
- Week 11: Definite integrals
- Week 12: Fundamental theorem of calculus, applications of definite integrals
- Week 13: Indefinite integrals and techniques of integration
- Week 14: Techniques of integration
- Week 15: Polar coordinates and polar curves, parametric function and curves
- Week 16: Conic sections and their parametric representations
- Week 17: Algebra of complex numbers
- Week 18: Revision
- Week 19: Final Term Examination
- Chapters 19
- Department Mechanical Engineering
- Teacher
Uzma Ahmad
