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• Week 1: Applications of Definite integrals, Volumes of Solids of Revolution, Arc lengths
• Week 2: Moments and Centers, Area of Surface of Revolution and Theorem of Pappus, Work, Fluid Pressure and Forces
• Week 3: Introduction to Transcendental Functions: Inverse Functions and Their Derivatives,Natural Logarithms, The Exponential Function
• Week 4: Logarithms with Base a, Exponential Growth and Decay, Relatives Growth and Decayy
• Week 5: Inverse Trigonometric Functions, Hyperbolic Functions, Techniques of Integration: Basic Integration Formulas
• Week 6: Integration by Parts, Integration by Partial Fractions, Trigonometric Integrals
• Week 7: Trigonometric Substitution, Area Between Curves, Average Value of a Function, Integral Tables
• Week 8: Numerical Integration, Improper Integrals
• Week 9: Mid Term
• Week 10: Further Application of Integration: Slope Fields and Separable Differential Equations, First Order Differential Equations and its Applications,
• Week 11: Conic Section and Quadratic Equations, Classifying Conic Sections by Eccentricity
• Week 12: Quadratic Equations and Rotations, Conic Sections and Parametric Equations
• Week 13: Polar Coordinates, Graphing in Polar Coordinates
• Week 14: Areas and Lengths in Polar Coordinates, Conic Section in Polar Coordinates
• Week 15: Sequences, Infinite Series
• Week 16: The Integral Test. Comparison Test, The Ratio Test, Root Test
• Week 17: Power Series, Convergence of Power Series, Representation of Functions as Power Series, Differentiation and Integration of Power Series Taylor and Maclaurin Series
• Week 18: Final Term Examination