MATH 2415 STEM
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 mywtc.edu and to Moodle (the big M with a graduation cap) on the college’s home page, www.wtc.edu.
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
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.