Calculus II

Western Texas College

  1. Basic Course Information
    1. MATH 2415 Course Description:  Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.
    2. Any required prerequisites:  Students must make a C or better in MATH 2414.
    3. Advancement Via Individual Determination (AVID) learning strategies will be implemented periodically throughout the course.
    4. This course has been designed to prepare students whose chosen field of study requires a STEM mathematical pathway.
    5. Project Base Learning (PBL) is an active learning method in which students gain knowledge and skill by investigating and responding to a tangible, engaging and complex question, problem or challenge.
    6. 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. Perform calculus operations on vector-valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion.
    2. Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.
    3. Find extrema and tangent planes.
    4. Solve problems using the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.
    5. Apply the computational and conceptual principles of calculus to the solutions of real-world problems.               
  3. Course Requirements
    1. Major Requirements—All major requirements must be proctored.
      1. In-Class Participation
      2. Unit Exams
      3. Midterm Exam
      4. Final Exam
    2. Minor Requirements
      1. Binder Checks
      2. Homework
      3. Quizzes
      4. Projects
  4. Testing Requirements
    1. Students are NOT allowed to use their book or notes of any kind while completing major requirements.
  5.  Information on Books and Other Course Materials
    1. Required Book: Calculus (Early Transcendentals) 2nd Edition by William Briggs and Lyle Cochran.  Book 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 higher is strongly recommended.  The TI-89, TI-Inspire with CAS or any other calculator with CAS capability are not permitted.
  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
  7. Planned Course of Study

    Chapters and Sections to be covered throughout the semester

    Chapter 11—Parametric and Polar Curves

    11.1        Vectors in the Plane
    11.2        Vectors in Three Dimensions
    11.3        Dot Products
    11.4        Cross Products
    11.5        Lines and Curves in Space
    11.6        Calculus of Vector-Valued Functions
    11.7        Motion in Space
    11.8        Length of Curves
    11.9        Curvature and Normal Vectors

    Chapter 12—Vectors and Vector-Valued Functions

    12.1        Planes and Surfaces
    12.2        Graphs and Level Curves
    12.3        Limits and Continuity
    12.4        Partial Derivatives
    12.5        The Chain Rule
    12.6        Directional Derivatives and the Gradient
    12.7        Tangent Planes and Linear Approximation
    12.8        Maximum and Minimum Problems
    12.9        Lagrange Multiplier

    Chapter 13—Functions of Several Variables

    13.1        Double Integrals over Rectangular Regions
    13.2        Double Integrals over General Regions
    13.3        Double Integrals in Polar Coordinates
    13.4        Triple Integrals
    13.5        Triple Integrals in Cylindrical and Spherical Coordinates
    13.6        Integrals for Mass Calculations
    13.7        Change of Variables in Multiple Integrals

    Chapter 14—Multiple Integration

    14.1        Vector Fields
    14.2        Line Integrals
    14.3        Conservative Fields
    14.4        Green’s Theorem
    14.5        Divergence and Curl
    14.6        Surface Integrals
    14.7        Stokes’ Theorem
    14.8        Divergence Theorem

*This schedule is subject to change at the discretion of the instructor.


Last Modified: August 23, 2019