## MATH 111 - Int. to Calculus & Analytical Geometry II

Introduction to Calculus & Analytical Geometry  - MATH 111

Class Meeting: Wednesday 1200 - 1330
Thursday 1000 - 1130

Course description

This course will cover extreme values of a function, the mean value theorem, Rolle’s theorem and intermediate value theorem, curve sketching, linearization and differentials, Riemann sums and definite integrals with application to areas between curves, volume by slicing, lengths of plane curves, analytic geometry in space, parametric equations, vectors in the plane and in space, vector functions and their derivatives, dot and cross products,

Course Objectives

This course provides a continuation in calculus and analytic geometry for students with a weak background, and reinforces traditional calculus and analytic geometry approaches to give the student a better understanding of the mathematical concepts underlying them. Its goal is to prepare students to go on to more advanced mathematics. More precisely, it aims to teach the students the following topics:

1. Continuous and differentiable functions.

2. Application to derivatives.

3. Riemann sums and definite integrals.

4. Analytic Geometry.

5. Vectors.

Course Learning Outcomes

At the end of this course, the students should be able to:

1.Describe some concepts, definitions and theorems in calculus and analytic geometry.

2.Implement the theories in problem solving.

3.Identify, formulate and solve problems.

4.Consider problems that could be solved by applying appropriate theories, principles and concepts relevant to functions, continuity, derivatives, analytic geometry   and vectors.