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• Week 01: Functions and their graphs, Rates of change and tangents to curves
• Week 02: Limit of a function and limit laws, The precise definition of a limit
• Week 03:One-sided limits ,continuity, limits involving infinity: asymptotes of graphs
• Week 04: Differentiation: tangent and derivative at a point, the derivative as a function
• Week 05: Differentiation rules, the derivative as a rate of change
• Week 06: Derivative of trigonometric functions, chain rule, implicit differentiation.
• Week 07: Mid Term
• Week 8: Related rates, linearization and differentials, higher derivatives.
• Week 9: Applications of derivatives: extreme values of functions
• Week 10: Rolle's theorem, the mean value theorem, Monotonic functions and the first derivative test
• Week 11: Applied optimization, Anti derivatives, integration: area and estimating with finite sums
• Week 12: Sigma notation and limits of finite sums, definite integral, the fundamental theorem of calculus
• Week 13: Applications of definite integrals :volume using cross-sections
• Week 14: Volumes using cylindrical shells, arc length, Areas of surfaces of revolution
• Week 15:Transdental functions: inverse functions and their derivatives, Cauchy’s residue theorem with applications
• Week 16: Natural logarithms, exponential functions, indeterminate forms and L' Hospital's rule
• Week 17: Inverse trigonometric functions, hyperbolic functions.
• Week 18: Final Term Exam