MATH 2413
Calculus I

Western Texas College

  1. Basic Course Information
    1. Course Description: Limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.
    2. Any required prerequisites:  Students must make a C or better in Math 1316 or its equivalent, or have the appropriate entrance exam score.
    3. Online course content is administered through the college’s learning management system (LMS), Moodle, also called eCampus.  A link to eCampus can be found on and to Moodle (the big M with a graduation cap) on the college’s home page,
  2. Student Learning Outcomes
    1. Develop solutions for tangent and area problems using the concepts of limits, derivatives, and integrals.
    2. Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
    3. Determine whether a function is continuous and/or differentiable at a point using limits.
    4. Use differentiation rules to differentiate algebraic and transcendental functions.
    5. Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
    6. Evaluate definite integrals using the Fundamental Theorem of Calculus.
    7. Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
  3. Testing Requirements
    1. The Midterm and Final exam must be proctored by an approved testing organization.  (Ask you instructor for more details.)
    2. Students are NOT allowed to use their book or notes of any kind while taken their proctored midterm and exam.
    3. Students are allowed to use the formula sheet provided for the midterm and final exam.
    4. Students are allowed to use a calculator.  However, the TI-89, TI-Inspire with CAS or any other calculator with CAS capability are not permitted.
  4. Major Course Requirements
    1. Major Requirement  - There will be Midterm.  
    2. Major Requirement  - There will be a Final exam.
    3. Major Requirement – A lab activity for each chapter.
    4. Major requirements and quizzes are all timed.
    5. Homework 10% - Quizzes 20% - Lab 10% - Midterm 30%,  Final Exam 25%
    6. Final Grade:  A = 90 - 100,  B = 80- 89,  C = 70 -79,  D = 60 - 69,  F = 59 and below.
  5. Information on Books and Other Course Materials
    1. Book:  Calculus (Early Transcendentals) 2nd Edition by William Briggs and Lyle Cochran. Textbook alone ISBN:     9780321947345.
    2. Required Access Code:  Online Students must purchase a MyMathLab Access Code.  This code can be purchased stand alone or bundled with the textbook. MyMathLab stand alone (provides e-book) ISBN: 9780321199911.  A la carte version w/MML ISBN: 9780321965165. 
    3.  Calculators:  A TI-84 or its equivalent is strongly recommended.  A Graphing Calculator is required. 
  6. Other Policies, Procedures and important dates.  Please refer to the WTC Catalog for the following:
    1. Campus Calendar
    2. Final exam schedule
    3. How to drop a class
    4. Withdrawal information
    5. Student Conduct/Academic Integrity
    6. Class Attendance
    7. Students with disabilities


Section(s) Covered

Chapter 2

2.1 The idea of Limits

2.2 Definitions of Limits

2.3 Techniques for Computing Limits

2.4 Infinite Limits

2.5 Limits at Infinity

2.6 Continuity

Chapter 2 Lab

Chapter 3

3.1 Introducing the Derivative

3.2 Working with Derivatives

3.3 Rules of Differentiation

3.4 The Product and Quotient Rules

3.5 Derivatives of Trig Functions

3.6 Derivatives as Rates of Change

3.7 The Chain Rule

3.8 Implicit Differentiation

3.9 Derivatives of Logarithmic and Exponential Functions

3.10 Derivatives of Inverse Trigonometric Functions

3.11 Related Rates

Chapter 3 Lab



Chapter 4

4.1 Maxima and Minima

4.2 What Derivatives Tell Us

4.3 Graphing Functions

4.4 Optimization Problems

4.5 Linear Approximation and Differentials

4.6 Mean Value Theorem

4.7 L’Hopital’s Rule

4.9 Antiderivatives

Chapter 4 Lab

Chapter 5

5.1 Approximating Areas under Curves

5.2 Definite Integrals

5.3  Fundamental Theorem of Calculus

5.4 Working with Integrals

5.5 Substitution Rule

Chapter 5 Lab

Final Exam



Last Modified: August 31, 2017