MATH 1410-M Fundamentals of Calculus

Abstract

This course is designed for students majoring in biology, pre-health sciences, or any other major except mathematics, computer science, physics, engineering, chemistry, and physical sciences. Topics include functions, limits, derivatives, and integrals, and problem solving methods, including optimization and related rates problems. Emphasis is placed on developing and interpreting models from a variety of disciplines, on analyzing data, and on graphing and numerical computations. (lecture: 3 hours; recitation: 1 hour). Prerequisite(s): Pre-Calculus, high school Algebra and Trigonometry. This course may be taken as a prerequisite. , 4.000 Credit hours Course Description: ❖ Fundamentals of Calculus: Introduction to limits, differentiations and integrations General Objectives: ❖ Students will be expected to learn the general concept of functions and demonstrate an understanding of materials of Fundamentals of Calculus beyond the manipulation of symbols by applying the techniques of Fundamentals of Calculus to practical problems. Student Learning Outcomes: Students will be able to ❖ handle functions ❖ evaluate and graph functions ❖ perform computations and apply strategies for simplifying expressions, functions and equations and inequalities ❖ calculate limits, derivatives, and indefinite integrals ❖ apply the definition of continuity to pure and applied mathematics problems ❖ use limits, derivative and their properties to analyze graphs of various functions of a single variable including transcendental functions ❖ employ the principles of the differential calculus to solve optimization problems and other applications ❖ calculate the area of regions in the plane- Integrations ❖ perform mathematical operations of functions from reality ❖ productively discuss mathematics in a group setting ❖ write detailed solutions using appropriate mathematical language ❖ identify areas in mathematics and other fields where Calculus is useful ❖ generate solutions to unfamiliar problems ❖ analyze problems from reality by using the techniques of Calculus