Methods of reasoning and proofs: propositional logic, predicate logic, induction, recursion, and pigeonhole principle. Introduction to Discrete Mathematics (4)īasic discrete mathematical structure: sets, relations, functions, sequences, equivalence relations, partial orders, and number systems. Prerequisites:AP Calculus BC score of 3, 4, or 5, or MATH 10B or MATH 20B. Emphasis on connections between probability and statistics, numerical results of real data, and techniques of data analysis. Introduction to software for probabilistic and statistical analysis. Sample statistics, confidence intervals, hypothesis testing, regression. Discrete and continuous random variables: mean, variance binomial, Poisson distributions, normal, uniform, exponential distributions, central limit theorem. Calculus-Based Introductory Probability and Statistics (5)Įvents and probabilities, conditional probability, Bayes’ formula. (No credit given if taken after or concurrent with 20C.) Prerequisites: AP Calculus BC score of 3, 4, or 5, or MATH 10B, or MATH 20B. Vector geometry, partial derivatives, velocity and acceleration vectors, optimization problems. Introduction to functions of more than one variable. (No credit given if taken after or concurrent with MATH 20B.) Prerequisites: AP Calculus AB score of 3, 4, or 5 (or equivalent AB subscore on BC exam), or MATH 10A, or MATH 20A. 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 2023–24, please contact the department for more information.Īll prerequisites listed below may be replaced by an equivalent or higher-level course. What is the way to speed up matrix multiplication in Mathematica.All courses, faculty listings, and curricular and degree requirements described herein are subject to change or deletion without notice. I am certain that something is not right in my Mathematica approach. I can't imagine doing such a calculation with really large matrices. I don't understand why I get different results in here. The difference between g and f far being zero. I am not expecting Mathematica to be faster but not 100 times slower.Īnd it takes only 0.004 seconds with format long ( double precision)įor Mathematica a = RandomReal However, even if I use 16 Digits the calculation take extremely long compare to MATLAB. I have several matrices (2D matrices) sizes can go up to 30000*30000 and I need to do matrix multiplications.
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