Antiderivatives, definite integrals, the Fundamental Theorem of Calculus, methods of integration, areas and volumes, separable differential equations. Integral calculus of functions of one variable, with applications. (No credit given if taken after or concurrent with MATH 20A.) Prerequisites: Math Placement Exam qualifying score, or AP Calculus AB score of 2, or SAT II Math Level 2 score of 600 or higher, or MATH 3C, or MATH 4C. Functions, graphs, continuity, limits, derivatives, tangent lines, optimization problems. Prerequisites: Math Placement Exam qualifying score, or MATH 3C, or ACT Math score of 25 or higher, or AP Calculus AB score (or subscore) of 2.ĭifferential calculus of functions of one variable, with applications. Two units of credit given if taken after MATH 3C.) Three or more years of high school mathematics or equivalent recommended. (No credit given if taken after MATH 1A/10A or 2A/20A. Reinforcement of function concept: exponential, logarithmic, and trigonometric functions. Circular functions and right triangle trigonometry. Graphing functions and relations: graphing rational functions, effects of linear changes of coordinates. Precalculus for Science and Engineering (4) Prerequisites: Math Placement Exam qualifying score, or ACT Math score of 22 or higher, or SAT Math score of 600 or higher. (No credit given if taken after MATH 4C, 1A/10A, or 2A/20A.) Three or more years of high school mathematics or equivalent recommended. Emphasis on understanding algebraic, numerical and graphical approaches making use of graphing calculators. Linear and polynomial functions, zeroes, inverse functions, exponential and logarithmic, trigonometric functions and their inverses. Prerequisites: Math Placement Exam qualifying score.įunctions and their graphs. Workload credit only-not for baccalaureate credit. This multimodality course will focus on several topics of study designed to develop conceptual understanding and mathematical relevance: linear relationships exponents and polynomials rational expressions and equations models of quadratic and polynomial functions and radical equations exponential and logarithmic functions and geometry and trigonometry. Introduction to College Mathematics (4)Ī highly adaptive course designed to build on students’ strengths while increasing overall mathematical understanding and skill. Please consult the Department of Mathematics to determine the actual course offerings each year. The listings of quarters in which courses will be offered are only tentative. Coursesįor course descriptions not found in the UC San Diego General Catalog 2022–23, please contact the department for more information.Īll prerequisites listed below may be replaced by an equivalent or higher-level course. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.Ĭommentary: one Signature is Invalid, idk how to fix it, but i can still do hw sooo ¯\_(ツ)_/¯Ĭh 10: Parametric Equations and Polar Coordinatesġ0.1: Curves Defined by Parametric Equationsġ0.4: Areas and Lengths in Polar Coordinatesġ0.6: Conic Sections in Polar Coordinatesġ1.3: The Integral Test and Estimates of Sumsġ1.6: Absolute Convergence and the Ratio and Root Testsġ1.9: Representations of Functions as Power Seriesġ1.11: Applications of Taylor Polynomialsġ2.1: Three-Dimensional Coordinate Systemsġ3.2: Derivatives and Integrals of Vector Functionsġ3.4: Motion in Space: Velocity and Accelerationġ4.4: Tangent Planes and Linear Approximationsġ4.6: Directional Derivatives and the Gradient Vectorġ5.2: Double Integrals over General Regionsġ5.3: Double Integrals in Polar Coordinatesġ5.7: Triple Integrals in Cylindrical Coordinatesġ5.8: Triple Integrals in Spherical Coordinatesġ5.9: Change of Variables in Multiple Integralsġ6.3: The Fundamental Theorem for Line Integralsġ6.6: Parametric Surfaces and Their AreasĬh 17: Second-Order Differential Equationsġ7.All courses, faculty listings, and curricular and degree requirements described herein are subject to change or deletion without notice. With MULTIVARIABLE CALCULUS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples.
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