This course introduces the student to the calculus of single-valued functions. Topics include: limits, continuity, rates of change, rules for differentiating, differentials and local linear approximations, maxima and minima problems, L’Hôpital’s rule, related rates, logarithmic and implicit differentiation, inverse trigonometric and hyperbolic functions, Rolle ’s Theorem, the mean-value theorem, and applications of derivatives and integrals. An overview of integration, basic techniques for integration, algebraic techniques of integration and applications of integrations are also included.
- Limits and Continuity
- Applications of Derivatives
- Applications of Definite Integrals
- Integrals and Transcendental Functions
- Techniques of Integration