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• Week 1: Limits, Limit of a function, Left-hand and Right-hand Limits.
• Week 2: Continuity.
• Week 3: Indeterminate forms and L'Hospitals Rule.
• Week 4: Curve Sketching, Rolles Theorem, The Mean Value Theorem.
• Week 5: Real Number Line. Functions and their Graphs.
• Week 6: Solutions of Equations involving Absolute Values, Inequalities.
• Week 7: Derivatives: Definitions, Techniques of Differentiation.
• Week 8: Differentiation of Polynomials, Rational, Exponential, Logrithmetic and Exponential functions.
• Week 9: Mid Term Exam
• Week 10: Differentiation of trignometric functions, Inverse functions, The Chain Rule, Higher Order Differentiation.
• Week 11: Applications of Derivatives, Increasing and Decreasing functions.
• Week 12: Relative extrema and Optimization.
• Week 13: Integration and Definite Integrals.
• Week 14: Techniques of Evaluating Indefinite Integrals.
• Week 15: Integration by Substitution.
• Week 16: Integration by Parts, Change of Variables in Definite Integrals.
• Week 17: Applications of Integrals, Area between the curves. Revision.
• Week 18: Final Term Exam