Competencies
- To demonstrate competency in the geometry of 3-space, the student should be able to:
- Find equations of lines and planes in 3-space.
- Identify and sketch surfaces in 3-space.
- To demonstrate competency in vector analysis, the student should be able to:
- Compute limits, derivatives, and integrals of vector-valued functions.
- Use vector-valued functions to analyze projectile motion.
- Find tangent and normal vectors on a plane or space curve.
- Find curvature at a point on a plane or space curve.
- To demonstrate competency in functions of several variables, the student should be able to:
- Understand the notion of a function of two variables
- Sketch the graph of a function of two variables
- Sketch level curves for a function of two variables
- Understand the concept of limit and continuity of a function of several variables.
- To demonstrate competency in partial derivatives, the student should be able to:
- Find partial derivatives of a function of several variables.
- Find the equation of a tangent plane to a surface.
- Find extrema of a function of two variables.
- Use Lagrange Multipliers to solve constrained optimization problems.
- To demonstrate competency in multiple integrals, the student should be able to:
- Evaluate double and triple integrals.
- Find the area under a curve by double integral
- Find volume using double and triple integrals.
- Find the area of a surface using double integrals.
- Use Jacobians to change variables in a double integral.
- To demonstrate competency in line integrals, the student should be able to:
- Evaluate a line integral along a curve.
- Use Green’s Theorem to evaluate a line integral.
- Use Stokes’ Theorem to evaluate a surface integral.
- Use the Divergence Theorem to evaluate a surface integral.
Campus Resources for Students
Weatherford:
The Academic Support Center is a free public tutoring service provided by the college, offered in LART- LL Room 2, 817-598-6278
Video tapes
Computer assisted instruction
Instructor’s office hours
Upon successful completion of this course, students will:
- Perform calculus on vector-values functions, including derivatives, integrals, curvature, displacement, velocity, and acceleration.
- Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.
- Find extrema and tangent planes.
- Solve problems using the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.
- Apply the computationl and conceptual principles of calculus to the solutions or real-world problems.
Required Supplies
Scientific calculator, paper, pencil, and notebook.These course objectives and student learning outcomes will be assessed through the administration of a minimum of 3 in-class exams (65%), quizzes/homework (10%), and a comprehensive, departmental final exam (25%).
A - Student’s work is exceptional and consistently above average.
B - Student’s work is above average. Required assignments were completed in a timely manner and have met at least the minimum required standards.
C - Student’s work is acceptable. Majority of assignments meet the minimum required standards.
D - Student’s work fails to meet the minimum requirements for a grade of "C." Overall performance was sub-standard in comparison to normal expectations for this class.
F - Student’s work is clearly unacceptable. Student either did not attempt the work or failed to meet any of the minimum required standards.
Communication (COM), Critical Thinking (CT), Empirical & Quantitative Reasoning (EQR)
ADA Statement:
Any student with a documented disability (e.g. learning, psychiatric, vision, hearing, etc.) may contact the Office on the Weatherford College Weatherford Campus to request reasonable accommodations. Phone: 817-598-6350 Office Location: Office Number 118 in the Student Services Building, upper floor. Physical Address: Weatherford College 225 College Park Drive Weatherford, TX.
100-90 = A
89-80 = B
79-70 = C
69-60 = D
59-below = F