MATH 2414
Calculus II

Western Texas College

  1. Basic Course Information
    1. Course Description:  Differentiation and integration of transcendental functions: parametric equations and polar coordinates; techniques of integration; sequences and series; improper integrals.
    2. Any required prerequisites:  Students must make a C or better in Calculus I.
    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 my.wtc.edu and to Moodle (the big M with a graduation cap) on the college’s home page, www.wtc.edu.
  2. Student Learning Outcomes.  Upon successful completion of this course, students will:
    1. Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.
    2. Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.
    3. Define an improper integral.
    4. Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.
    5. Determine convergence or divergence of sequences and series.
    6. Use Taylor and MacLaurin series to represent functions.
    7. Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.
    8. Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.
  3. Testing Requirements
    1. The Midterm exam and the 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 taking their proctored Midterm and Final exams.
    3. All quizzes and exams are timed. 
    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. There will be a Midterm and a comprehensive final exam.
    2. There will be homework for every section covered.
    3. There will be lab activity for each chapter
    4. There will be a cumulative chapter quiz for each chapter.
  5. Information on Books and Other Course Materials
    1. Book:  Calculus (Early Transcendentals) 2nd Edition by Briggs, Cochran and Gillett. Textbook alone ISBN: 9780321954428.
    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: 9780321965165.
    3. Calculators:  A TI-84 or its equivalent is strongly recommended.  A Graphing Calculator is required.
  6. Grading system:
    1. Quizzes..…….………….………15%
      Homework…………..…………..10%
      Lab………………………………10%
      Midterm………………………….30%
      Final Comprehensive Exam…..35%
    2. Final Grade:  A = 90 - 100,  B = 80- 89,  C = 70 -79,  D = 60 - 69,  F = 59 and below.
  7. 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
  8. Course Content

Chapter 6

6.1 Velocity and Net Change
6.2 Regions Between Curves
6.3 Volume by Slicing
6.4 Volume by Shells
6.5 Length of Curves
6.6 Surface Area
6.7 Physical Applications
6.8 Logarithmic and Exponential Functions Revisited
6.9 Exponential Models
6.10 Hyperbolic Functions

Chapter 7

7.1 Basic Approaches
7.2 Integration by Parts
7.3 Trigonometric Integrals
7.4 Trigonometric Substitutions
7.5 Partial Fractions
7.6 Other Integration Strategies
7.7 Numerical Integration
7.8 Improper Integrals
7.9 Introduction to Differential Equations

Chapter 8

8.1 An Overview of Sequences and Series
8.2 Sequences
8.3 Infinite Series
8.4 The Divergence and Integral Tests
8.5 The Ratio, Root and Comparison Tests
8.6 Alternating Series

Chapter 9

9.1 Approximating Functions with Polynomials
9.2 Properties of Power Series
9.3 Taylor Series
9.4 Working with Taylor Series

Chapter 10

10.1 Parametric Equations
10.2 Polar Coordinates
10.3 Calculus in Polar Coordinates
10.4 Conic Sections

 

 

Last Modified: August 31, 2017