This subjects includes basic concepts of Calculus such as limits, continuity and differentiability of functions; differentiation of algebraic and transcendental functions involving one or more variables; applications of differential calculus to problems on optimization, rates of change, related rates, tangent and normal lines, and approximations; partial differentiation and transcendental curve tracing.

Course Learning Outcomes

By the end of this course, the student should be able to:

CLO1: Recall basic concepts of calculus: functions, variables, limits, and continuity

CLO2: Differentiate algebraic and transcendental functions

CLO3: Apply derivatives in curve tracing

CLO4: Apply the concept of differentiation in solving word problems

Course Outline

• Topic 1. Review of Functions
• Topic 2. Limits and Continuity
• Topic 3. The Derivative
• Topic 4. The Slope
• Topic 5. Rates of Change of Functions
• Topic 6. Maximum and Minimum Values of Functions
• Topic 7. Derivatives of Transcendental Functions
• Topic 8. The Differential
  
• Topic 9. Derivatives from Parametric Equations and Partial Differentiation