![]() Target Audience1 BA Additional InformationAttendance for at least 10 out of a total of 14 seminars is mandatory. Solve separable and first-order linear differential equations. LiteratureAdams and Essex, Calculus: A Complete Course, 9th edition, Pearson 2018, ISBN-10: 0134154363 MAT 272, Calculus II Comprehensive Articulation Agreement Universal General Education. The midterm exam or final exam cannot be retaken separately. ![]() There is one retake which covers all topics for the midterm exam and the final exam. The final grade (G) is the average of the midterm exam (M) and final exam (F): G(M+F)/2. ![]() Method of AssessmentThere is a midterm exam and a final exam. Attendance for at least 10 out of a total of 14 seminars is mandatory. Topics that will be treated are: 1) sequences, series, power series, Taylor series 2) vectors, dot product, cross product, vector projection, distances in R^3 3) partial derivatives, chain rule, gradients 4) extreme values, Lagrange multiplier method 5) double integrals, polar coordinates 6) complex numbers 7) first and second order differential equations Teaching MethodsLectures (3 x 2 hours per week) and seminars (2 x 2 hours per week). Course ContentSeries, vectors in R^2 and R^3, real functions of several variables, complex numbers, differential equations. Examples and applications are introduced throughout the subject.Recommended background knowledgeCalculus 1 URL study guide Course ObjectiveAt the end of this course the student is able to a) determine if a series is convergent or divergent, using several tests (like the comparison test, ratio test, alternating series test) b) work with power series (find the radius of convergence, differentiate or integrate termwise) c) find the Taylor series of several functions (like exp(x), sin(x), cos(x), ln(1+x), etc) d) calculate dot products, cross products, vector projections, distances in R^3 e) calculate partial derivatives, also using the chain rule f) find extreme values of functions of two variables, with and without constraints g) compute double integrals, also using polar coordinates g) calculate with complex numbers h) solve several first- and second-order differential equations (separable equations, first-order linear equations, second-order linear equations with constant coefficients). Topics to be covered include the formal definitions of limits, continuity and derivatives, Riemann integration, partial derivatives, the gradient, optimisation and Lagrange multipliers, integration in higher dimensions, systems of linear differential equations, solution of such systems using diagonalisation. This subject introduces calculus for functions of several variables and covers the underpinning concepts of calculus and real analysis, as well as the solution of coupled ordinary differential equations. Anti-requisite(s): 33230 Mathematics 0 Statistics and Mathematics for Science Description Use the formula: Evaluate the right side of this equation to solve the integral. ![]() Differentiate u to find du, and integrate dv to find v. Let the factor without dx equal u and the factor with dx equal dv. ![]() There are course requisites for this subject. To use integration by parts in Calculus, follow these steps: Decompose the entire integral (including dx) into two factors. These requisites may not apply to students in certain courses. 68107 Calculus 2 6cp 2 hpw tutorial, distance, supplemented by up to 4 hpw self-guided learning from Canvas Requisite(s): 68106 Calculus 1 The basic topics in calculus of severable variables are covered: differential calculus, integration theory in two variables, systems of differential equations. ![]()
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