MAT 1300: Calculus

05/01/2025 to 05/30/2026 • Modified 04/28/2025
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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: Limits & Continuity

  • Week 1: Introduction to Limits
  • Week 2: Finding Limits Analytically
  • Week 3: More Limits
  • Week 4: Continuity

Module 2: Differentiation

  • Week 5: Introduction to Derivatives
  • Week 6: Rules of Differentiation
  • Week 7: More Rules of Differentiation

Module 3: Applications of Differentiation

  • Week 8: Verbal & Graphical Representations of Derivatives
  • Week 9: Position, Velocity, & Acceleration

Module 4: More Differentiation & Applications

  • Week 10: Implicit Differentiation
  • Week 11: Related Rates
  • Week 12: Uses of Derivative

Module 5: More Applications of Derivatives

  • Week 13: Graphical Applications of Derivatives
  • Week 14: Second Derivative Applications & Curve Sketching
  • Week 15: Optimization
  • Week 16: Graphs of Derivatives

Module 6: Beginnings of Antidifferentiation

  • Week 17: Basics of Antiderivatives
  • Week 18: Precalculus Review – Exponential Functions

Module 7: Transcendental Functions

  • Week 19: Derivatives & Antiderivatives of Exponential Functions
  • Week 20: More Derivatives & Antiderivatives of Exponential Functions
  • Week 21: Derivatives & Antiderivatives of Logarithmic Functions
  • Week 22: More Derivatives & Antiderivatives of Logarithmic Functions

Module 8: More Inverse Functions

  • Week 23: Inverse Functions
  • Week 24: More with Inverse Trigonometric Functions

Module 9: Integration Applications

  • Week 25: Integrals & Area Under a Curve
  • Week 26: Finding the Area Under a Curve
  • Week 27: Definite Integrals & Quarter 3 Exam Log

Module 10: More Integration Applications

  • Week 28: Finding the Area Between Curves
  • Week 29: Finding the Volume of a Solid of Revolution
  • Week 30: More with Finding the Volume of a Solid of Revolution

Module 11: Fundamental Theorem of Calculus Part II-Introduction

  • Week 31: Applications of Definite Integrals
  • Week 32: More with the Fundamental Theorem of Calculus Part II
  • Week 33: Finding the Volume of Solids

Module 12: Applications

  • Week 34: Differential Equations
  • Week 35: Integrals with Position, Velocity, & Acceleration
  • Week 36: Applications of Rectilinear Motion & Quarter 4 Exam
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*Course specifics are tentative and subject to change each year. For the most current information, please refer to the Course Registration Tool.
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