Section 14.1 Differentiability and Gradient Section 14.2 Gradients and Directional Derivatives Section 14.3 The Mean-Value Theorem Chain Rules Section 14.4 The Gradient as a Normal Tangent Lines and Tangent Planes Section 14.5 Local Extreme Values Section 14.6 Absolute Extreme Values Section 14.7 LaGrange Multipliers Maxima and Minima with Side Conditions Section 14.8 Increments and Differentials Section 14.9 Reconstructing a Function from Its Gradient Section 13.1 Basic Terms and Examples Section 13.2 Graphs Level Curves and Level Surfaces Section 13.3 Limits and Continuity Section 13.4 Partial DerivativesĬhapter 14. Section 12.1 Vector Functions Section 12.2 Differentiation Formulas Section 12.3 Curves Section 12.4 Arc Length Section 12.5 Curvilinear Motion CurvatureĬhapter 13. Section 11.1 Cartesian Space Coordinates Section 11.2 Vectors Section 11.3 The Dot Product Section 11.4 The Cross Product Section 11.5 Lines 11.6 Planes Apply the computational and conceptual principles of calculus to the solutions of real-world problems.Solve problems using the Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.Perform calculus operations on vector‐valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion.Upon successful completion of this course, students will: More information on the Cougar Textbook Access Program (CTAP) & Canvas/CCS: No make ups will be given for assignments missed during the no-access period. In this case, if the code is not entered by the deadline specified on CASA, students will lose access to CASA. If one opts out of the CTAP, they can purchase an access code for this course at UH Bookstore. Students pay for access to CCS as part of their fee bill via CTAP. Textbook & Access Code: The textbook,online quizzes, and additional help materials will be made available by logging into CASA Campus Services ( CCS) at. Section number: This information applies to all sections.ĭelivery format: face-to-face lecture or online.Ĭourse Description: Calculus of functions of several variables: calculus of vector-valued functions, partial differentiation, multiple integrals. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***
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