faculty.mu.edu.sa

1. Topics to be Covered

List of Topics

No of

Weeks

Contact hours

Real numbers and real line – Inequality-  Functions – The graph of a function – even and odd functions – composite of functions

2

2

Review of Trigonometric functions – inverse functions – Limits– Properties of Limits – Techniques for Evaluating Limits

2

2

Infinites Limits-  Continuity– Properties of continuity- The Derivative of a function – Differentiability and continuity – Chain rule – Derivatives of Trigonometric functions – Logarithmic and exponential functions

4

2

Hyperbolic functions- Inverse trigonometric functions and their derivatives-  Extrema on an interval

2

2

– Rolle's theorem and the mean value theorem – Increasing and Decreasing functions and the first derivative test

2

2

– concavity and second derivative test –Optimization and graphs plotting– related rates- Conic sections.

2

2