# Math 119

## Contents

## Catalog Information

### Title

Introduction to Calculus.

### (Credit Hours:Lecture Hours:Lab Hours)

(4:4:1)

### Offered

As of Fall 2011 this course is only available through Independent Study.

### Prerequisite

Math 110 or equivalent.

### Description

Introduction to plane analytic geometry and calculus.

### Note

Effective Fall 2011: The math department recommends that students considering taking Math 119 should instead consider taking Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2011 Math 119 will be available as an evening course through the department of continuing education.

## Desired Learning Outcomes

This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

### Prerequisites

### Minimal learning outcomes

- Determine limits of functions from their graphs or equations.
- Analyze and apply the notions of continuity and differentiability to functions.
- Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
- Use derivatives to construct and analyze graphs of selected functions.
- Use various techniques to determine antiderivatives of simple functions.
- Demonstrate the connection between area and the definite integral.
- Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
- Integrate selected functions and apply the concepts of integration to solve various applications.

### Textbooks

Possible textbooks for this course include (but are not limited to):

### Additional topics

A brief introduction to multivariable calculus, solving simple differential equations, topics in probability and statistics, sequences, and series.

### Courses for which this course is prerequisite

This course is not a prerequisite for any math course at Brigham Young University.