MAT1101: Calculus I

This is a basic calculus course covering topics needed for physical, life and social science disciplines.  Topics covered include: 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. 
• Demonstrate an understanding of Rolle’s Theorem, Mean Value Theorem (MVT). 

Expected Learning Outcome 
This course unit is meant: 

• 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 learners 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.