MAT1101 CALCULUS I

This is a basic calculus course covering topics needed for physical, life and social science disciplines.  In this module, we shall look at concepts like Functions, Continuity Differentiation, and Application of differentiation.

Course Objectives
On successful completion of this course unit, the learners should be able to:

• Determine the domain, limits and continuity of functions.
• Calculate derivatives using basic definition, sum and product formulas, quotient rule, chain rule and power rule.
• Determine Derivatives of functions (trigonometric, inverse trigonometric functions, logarithmic and exponential functions, implicit and parametric functions).
• Analyze functions and sketch curves using first derivatives. 
• Solve problems using maxima and minima (optimization), related rates and differentials.

Expected Learning Outcomes
At the end of this module, students will be able to:

• To discuss the basic competence in the concepts, principle, procedures and application of single variable integral and differential calculus with continued emphasis on geometric interpretation and the use of a graphing calculator technology, when appropriate.
• To encourage orderliness, speed and accuracy in the presentation of mathematics.
• To help learners acquire the skills of expression in proper mathematical language and using mathematical symbols correctly.
• To provide instruction that contributes to the student’s abilities to think critically and solve real life problems, to reason mathematically and apply computational skills.
• To build a strong foundation in calculus as preparation for subsequent courses in mathematics and other sciences.