Course structure math 102 is a coordinated class

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Course Structure Math 102 is a coordinated class consisting of many different sections. The sections are taught by different instructors, but they share homework and exams. The instructors coordinate to teach roughly the same topics at roughly the same time. The course consists of in-person lectures with no labs or workshops. Lecture styles may differ between instructors. To encourage distributed studying (studying frequently in small bursts, rather than infrequently in long cram sessions) there are assessments due every few days. See Learning Activities for more information. Schedule of Topics Lectures will naturally diverge somewhat from any schedule, so the schedule below may change slightly. University of British Columbia Vancouver p. 2

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MATH 102 Syllabus Week Topics Textbook Sections 1 Power functions, polynomials 1.1-1.4 2 Rational functions, limits at infinity, rates of change (average and instantaneous), continuity 1.4-2.5,3.2 3 Derivatives: geometric and computational interpretation; computing approximations; sketching; rules 3.1-4.1 4 More derivatives rules, antideriatives of power functions, linear approximation and Newton’s method 4.1-5.5 5 Newton’s method, function sketching 6.1-6.3 6 Optimization 6.3-7.2 7 Least squares 7.4-8 8 Related rates, implicit differentiation, exponential functions 9.1-10.2 9 inverse functions, logarithms, exponential growth and decay, introduction to differential equations 10.3-11.3, 13.1 10 slope field, state-space diagrams, linear differential equations 13.2 11 linear differential equations, Newton’s Law of Cooling, Euler’s Method 12.1-12.4 12 disease dynamics, trignometric functions, periodic functions 13.3-14.3 13 derivatives of trigonometric functions, inverse trig functions 15.1-15.3 Learning Outcomes Students should understand concepts such as rate of change, and be able to apply them in a wide variety of situations. Students should be able to perform multi-step computations accurately. Students should be able to use their understanding of a concept to solve an unfamiliar problem. Students should be able to implement basic functions in a computer spreadsheet, and understand how the computer’s calculations relate to the course concepts. Students should be able to clearly and accurately communicate technical information. Learning Activities Lecture Classes may consist of some mix of lecture, discussion, group work, and individual work. Admin- istrative information may be communicated during class. During lecture, you should try your best to be present and thoughtful. If you find yourself lost because you struggle to pay attention, reading the text before class can help you form an outline of the coming lecture in your head, making it easier to come back from a short lapse in attention. University of British Columbia Vancouver p. 3
MATH 102 Syllabus When you are asked to work alone or in groups, stay on-task. Your instructor may ask you to participate with iclickers or similar polling tools.

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• Fall '19
• Derivative, Academia, University of British Columbia Vancouver

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