## Calculus and Analytic Geometry III

**Course Code:** MAC2313

**Credit Hours:** 4

**Effective beginning:** 2021-22

**Course Description:**

This course includes the study of lines, planes and surfaces in space; functions of several variables; partial derivatives of functions of several variables; extrema of functions of two variables; iterated integrals using rectangular, polar, cylindrical, and spherical coordinates; differentiation, integration, and applications of vector-valued functions; vector fields and calculations of line integrals and flux integrals, the use of Green’s Theorem, Divergence Theorem, and Stoke’s Theorem. A “C” grade or higher must be earned to advance to a higher-level mathematics course or to satisfy part of the general education requirement in mathematics.

### Course Details

**Prerequisites:**

A “C” grade or higher in MAC 2312

##### Required textbooks/ course materials:

*Calculus***, **eleventh Edition, by Larson & Edwards, Brooks/Cole, Cengage Learning

Enhanced WebAssign Printed Access Card for Calculus, Multi Term Courses. ISBN: 9781337652650

**OR **

Text + Enhanced WebAssign Homework and eBook LOE Printed Access Card for Multi Term Math and Science. ISBN: 9781337604741

##### Assignment/course outline:

See your Instructor First Day Handout for individual instructor assignment schedule.

##### Discipline-level learning outcomes:

**Area 3 -Math: Demonstrate Basic Mathematical Skills and Knowledge**

The purpose of the mathematics component of the core curriculum is to develop quantitative literacy with an ability to apply basic mathematical tools in the solution of real-world problems.

M-1 Solve mathematical problems by using arithmetic, algebraic, or geometric skills.

M-2 Translate basic mathematical information verbally, numerically, graphically, or symbolically.

M-3 Solve mathematical problems using appropriate technology.

M-4 Interpret mathematical models such as formulas, graphs, tables, or schematics.

M-5 Solve contextual problems using mathematical processes.

**SEE CORRELATION FOR TEACHER EDUCATION PROGRAM IN INSTRUCTOR'S FIRST-DAY HANDOUT.**

Course-level student learning outcomes | Discipline-level learning outcomes | Assessment methods |
---|---|---|

Identify properties of curves and common surfaces in space Determine derivatives and integrals of vector-valued functions Solve application problems involving vector-valued functions Determine the continuity of multivariable functions Calculate limits of multivariable functions Find partial derivatives, directional derivatives, and gradients of multivariable functions Solve optimization problems involving multivariable functions Solve application problems using the chain rule Evaluate iterated integrals using rectangular, polar, cylindrical, and spherical coordinates Examine the properties of vector fields Evaluate line integrals and flux integrals |
M1, M-2, M-4 M-1, M-2, M-4 M-1, M-2, M-3, M-4, M5 M-1, M-4 M-1, M-2, M-3 M-1, M-2, M3, M-4 M-1, M-2, M-3, M-4, M-5 M-1, M-2, M-3, M-5 M-1, M-2, M-4 M-2, M-4 M-1, M-2, M-4, M-5 |
Unit Tests, Cumulative Final, Homework |

Teacher Facilitated: The teacher will be leading class discussions on the material contained in the text during each class period.

Student-centered: The students will take notes and practice solving problems during each class period.

Office Hours: The instructor will be available during office hours for individual assistance. The instructor’s schedule can be found posted on their office door and/or via their Canvas course.

ACE Lab Tutors: Student tutors are available in the lab to provide individualized help. Hours can be found posted each semester on the lab door and/or via the web site.

### College-wide policies and resources

For more specific information on Chipola's college-wide academic policies and resources available to students, visit the link below.