Syllabus.pdf - Alexander College MATH 152 Syllabus Course...

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Alexander College: MATH 152 Syllabus 1 Course Information Course Number and Credits: MATH 152V (3) Calculus II Course Description: Riemann sums, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations and growth models. Sequences and series, series tests, power series, convergence and applications of power series. Class Time & Location: Thursdays & Saturdays 3:30PM 5:20PM Room 102 Vancouver campus Office Hour Thursdays 5:30PM 6:30PM I will often (but not always) be available Thursdays & Saturdays 1:00PM - 1:30PM as well. Send me an email of you wish to meet briefly during either of these times. Prerequisite Courses:MATH 151 Articulation: UBC: MATH 101 (3) SFU: MATH 152 (3) UVic: MATH 101 (1.5) UNBC: MATH 101 (3)
2 TRU: MATH 1240 (3) Preclusions: Students with credit for MATH 105 may not take MATH 152 for further credit Instructor Information: Instructor: Luc LapierreE-Mail:[email protected] Office Hours:Thursdays 5:30PM 6:30PM Room 101 Vancouver campus Course Objectives and Learning Outcomes:Distinguish between the indefinite integral and the definite integral. Define the definite integral as a limit of Riemann sums and interpret it as area. Explain the Fundamental Theorem of Calculus, showing how differentiation and integration are related. Evaluate an integral by the method of substitution. Use integrals to calculate areas between curves, volumes, work, and average value of a function. Evaluate integrals, using the techniques of integration by parts, using trigonometric identities and trigonometric substitution, and using partial fractions. Use the Midpoint Rule, Simpson's Rule, and the Trapezoidal Rule to find the approximate value of certain definite integrals. Evaluate the two types of improper integrals. Solve separable first-order differential equations. Use integrals to find arc length and area of a surface of revolution. Use integrals in applications to economics and biology. Determine whether a sequence of real numbers converges. Test a series for convergence or divergence, using the integral, ratio, root, and comparison tests. Test an alternating series for absolute convergence, conditional convergence, or divergence. Determine the radius and interval of convergence of a power series. Textbook and Instructional Materials:
3 Required Textbook(s): Single Variable Calculus: Early Transcendentals, 8th + Student Solutions manual New, Nelson, 9781305933736, Stewart, JamesResponses & Feedback:Announcements: Weekly announcements will be broadcast via Canvas. These will include (but not be limited to) information on upcoming assignments, additions or corrections to assignments or lecture notes as needed, and reminders about due dates and exam dates.

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