MATH 2313
Calculus I

Western Texas College

 

  1. Basic Course Information
    1. Course Description:   This course is a study of limits and continuity, derivatives, applications of derivatives, differentials, indefinite and definite integrals.
    2. Any required prerequisites:  Students must make a C or better in Trigonometry, Pre-Calculus, Analytic Geometry or have the appropriate entrance exam score.
  2. Student Learning Outcomes
    1. Given an application, the student will discover an appropriate approach that leads to the correct solution by applying mathematical problem solving skills learned in class. Success will be measured using a straightforward right or wrong grading system but will be given multiple attempts for success.
    2. Given an application, the student will demonstrate arithmetic and algebraic manipulation skills by choosing the correct approach and computing the correct solution. Success will be measured using a straightforward right or wrong grading
      system but will be given multiple attempts for success.
    3. Given an application, the student will devise and carry out a plan to successfully solve the task by applying and interpreting mathematical concepts learned in class.  Success will be measured using a straightforward right or wrong grading system but will be given multiple attempts for success.
    4. Given an application, the student will determine the correct solution by experimenting with the multiple approaches learned in class.  Success will be measured using a straightforward right or wrong grading system but will be given multiple attempts for success.
  3. Testing Requirements – Online Students Only
    1.  Students are required to take the final exam at a testing center.  Students should find a testing center near their current location and give the details to their instructor.
    2. Students are allowed to use their book, notes and calculator while testing.  However, students are required to make a 60 or higher on the final exam or they automatically fail the course.
  4. Major Course Requirements
    1. Major Requirement  - There will be 4 major chapter exams
    2. Major Requirement  - There will be a comprehensive final exam
  5. Information on Books and Other Course Materials
    1. Book:  Calculus by William Briggs and Lyle Cochran. Textbook alone ISBN: 0321336119. 
    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:  0321653998.  .   A la carte version w/MML ISBN: 0321738829. 
    3. Calculators:  A TI-84 or higher is strongly recommended.  A Graphing Calculator is required.
  6. Other Policies, Procedures and Important Dates
    1. Please refer to the WTC Course Catalog.

 

               

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 3

3.1 Introducing the Derivative

3.2 Rules of Differentiation

3.3 The Product and Quotient Rules

3.4 Derivatives of Trig Functions

3.5 Derivatives as Rates of Change

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Related Rates

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

4.8 Antiderivatives

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

Labs

Final Exam

 

 

Last Modified: August 19, 2015