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• Week 01: Real number and real line, Functions and their graphs, Rate of change and limits.
• Week 02: Differential Calculus: The derivative as a function, Differential rules
• Week 03: The derivative as a rate of change, Derivatives of algebraic functions
• Week 04: Derivatives of exponential functions, Derivatives of trigonometric functions, The chain rule and parametric equations
• Week 05: Implicit differentiation, Inverse functions and their derivatives
• Week 06: Derivatives of inverse trigonometric functions, Derivatives of hyperbolic functions
• Week 07: Findings of horizontal and normal tangents
• Week 08: Extreme values of functions, The mean value theorem.
• Week 09: Mid Term Exam
• Week 10: Integral Calculus: Basic integration formulas, Integration by parts
• Week 11- Indefinite integrals and substitutions rules, Integration of rational functions by partial fractions
• Week 12- Improper integrals, The definite integrals
• Week 13- Substitutions and area between curves
• Week 14-Volume by slicing and rotation and rotation about the axis
• Week 15-Volume by cylindrical shells
• Week 16- Length of plane curves, Area of surface of revolution. Complex numbers
• Week 17-Addition, multiplication, subtraction and division of complex numbers and complex plane.
• Week 18- Final Term Examination