"MATH 135 Calculus with Review Lamb Fall 2024" by McKenzie Lamb
 

Document Type

Syllabus

Publication Date

Fall 9-1-2024

Course Description

Math 135-136 is a two-semester Calculus I sequence. Math 135 covers the first half of calculus I material. Compared with a standard calculus course, our class will include review of precalculus subjects as needed. We will review topics from algebra, trigonometry, functions, graphing; and learn new concepts such as limits, continuity, differentiation. You are encour- aged to ask a lot of questions, including (and especially) basic questions. For example, if you don’t remember how to add fractions, it’s completely okay to ask about it in this course, and we will review it. Our primary textbook is APEX Calculus, by Gregory Hartman, et. al. This book is freely available online, though you may purchase a printed copy if you wish

Student Outcomes

By the end of MATH 136, students will be able to: Interpret mathematical functions in a variety of representations: graphical, numerical, analytic and verbal. Express an informal understanding of limits and calculate limits of functions graphically, numerically and algebraically. Interpret the derivative as a rate of change, the slope of the tangent line and as a tool for linear approximations. Calculate and estimate derivatives of functions expressed analytically, graphically or numerically. Use calculus to find maxima and minima of functions and to optimize real-world quantities. Interpret definite integrals as limits of Riemann sums. Calculate integrals using the Fundamental Theorem of Calculus. Read mathematics and communicate mathematics both orally and in well-written sentences (explain solutions to problems).

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