MAT1300: Calculus

05/01/2024 to 05/30/2025 • Modified 04/23/2024

Course Description

This year-long course builds on principles of geometry, algebra, trigonometry, and other prior mathematics courses to take students into the world of limits, derivatives, and special computational techniques such as the power rule and differentiation. It is an important prerequisite for many educational programs in engineering and science. The student will also explore topics related to sequences, series, and the fundamental theorem of calculus as well as differential equations. Students will have access to engaging multimedia video lectures, notes pages for each lesson summarizing the video content, practice problems, and assessments. All video lessons include a transcript and closed captioning in English and Spanish.

Next Start Date*

Next Monday

Program Restrictions*

ESD: Elementary School Diploma (ESDP-ESD-D) Excluded
MSD: Middle School Diploma (MSDP-MSD-D) Excluded

Prerequisite Requirements*

Any of the following:

All of the following:
- MAT 1201 previously completed with a minimum grade of D
  and
- MAT 1202 previously completed with a minimum grade of D
or
All of the following:
- MAT 1201 previously completed with a minimum grade of D
  and
- MAT 1205 previously completed with a minimum grade of D
  and
- MAT 1206 previously completed with a minimum grade of D
or
All of the following:
- MAT 1202 previously completed with a minimum grade of D
  and
- MAT 1203 previously completed with a minimum grade of D
  and
- MAT 1204 previously completed with a minimum grade of D
or
All of the following:
- MAT 1203 previously completed with a minimum grade of D
  and
- MAT 1204 previously completed with a minimum grade of D
  and
- MAT 1205 previously completed with a minimum grade of D
  and
- MAT 1206 previously completed with a minimum grade of D
or
All of the following:
- MAT 2103 previously completed with a minimum grade of D
  and
- MAT 2104 previously completed with a minimum grade of D
or
MAT 1200 previously completed with a minimum grade of D
or
MAT 2100 previously completed with a minimum grade of D

High School Diploma Requirements*

Contributes 1 credit to LUOA – Mathematics, Mathematics Requirement.

Schedule

Module 1: Introduction and Limits

Week 1: Overview and Review
Week 2: Introduction to Limits
Week 3: More Limits

Module 2: Limits and Derivatives

Week 4: Limits and Instantaneous Velocity
Week 5: Introduction to Derivatives
Week 6: More Derivatives

Module 3: Rules for Computing Derivatives

Week 7: Derivative Rules
Week 8: More Derivative Rules
Week 9: Derivatives of Trigonometric Functions & Quarter 1 Exam

Module 4: Derivatives and Functions

Week 10: Exponential and Logarithmic Functions
Week 11: Implicit Differentiation
Week 12: Position, Velocity, and More Differentiation

Module 5: Optimization

Week 13: Optimization Applications
Week 14: More Optimization and Related Rates
Week 15: More Related Rates

Module 6: Graphs and Derivatives

Week 16: Extrema and Concavity
Week 17: Graphing Using the Derivative
Week 18: Asymptotes & Quarter 2 Exam

Module 7: Integration

Week 19: More Asymptotes
Week 20: Antidifferentiation
Week 21: Integrating More Functions

Module 8: Area and Motion

Week 22: Area
Week 23: Antiderivatives and Motion
Week 24: Area between Two Curves

Module 9: Indeterminate Forms and Integrating with y

Week 25: Integrating with Respect to y
Week 26: L’Hôpital’s Rule
Week 27: Log Functions & Quarter 3 Exam

Module 10: Derivatives of Inverse Functions

Week 28: Inverse Functions
Week 29: Trigonometric Functions
Week 30: Partial Fractions

Module 11: Integration by Parts and Improper Integrals

Week 31: Integrating by Parts
Week 32: Improper Integrals
Week 33: Average Value and Cross- Sectional Volume

Module 12: Solids of Revolution and Differential Equations

Week 34: Disk and Washer Methods
Week 35: Differential Equations
Week 36: Quarter 4 Exam

*Course specifics are tentative and subject to change each year. For the most current information, please refer to the Course Registration Tool.