COURSE SYLLABUS MATH 140 Summer 2020-1 (5).doc - PENN STATE...

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PENN STATE HARRISBURG CAMPUS School of Science, Engineering & Technology COURSE: MATH 140 CALCULUS I OFFICE: Zoom INSTRUCTOR: KEN BOYER HOURS: 1:00 – 2:00 pm. M T TH TEXT: UNIVERSITY CALCULUS Early Transcendentals 4th ed. AUTHOR: HASS, WEIR, THOMAS Email: [email protected] ASSIGNMENT: Odd numbered problems in each section as directed COURSE OUTLINE SECTIONS COVERED SECTIONS COVERED 1.1 – 1.6 (student reviews) 1.1 4.1 1.2 4.2 1.3 4.3 1.4 4.4 1.5 4.6 1.6 4.7 2.1 4.8 2.2 TEST CHP 4 2.4 5.1 2.5 5.2 2.6 5.3 3.1 5.4 3.2 5.5 TEST CHP 2 – 3.2 5.6 3.3 Special Topics 3.4 Instructors Choice 3.5 3.6 3.7 TEST CHP 3.3 – 3.7 3.8 FINAL EXAMINATION 3.9 (COMPREHENSIVE/ 3.10 CUMULATIVE) 3.11 4.5 TEST CHP 3.8 – 3.11 & 4.5 Final Exam Date: June 25, 2020 MATH 140 (GQ) Calculus With Analytic Geometry I (4) Functions, limits; analytic geometry; derivatives, differentials, applications; integrals, applications. Students may only take one course for credit from MATH 110, 140, 140A, 140B, and 140H.
Prerequisite : MATH 022 , MATH 026 ; or MATH 040 or MATH 041 or satisfactory performance on the mathematics FTCAP examination COURSE: MATH 140 CALCULUS I Topics Functions A Catalog of Functions Definition and Intuition of the Limit Limit Calculations Continuity and the Intermediate Value Theorem Limits involving Infinity Tangent Lines, Rates of Change, and Derivatives The Derivative Function Basic Differentiation Rules Product and Quotient Rules The Chain Rule Implicit Differentiation Related Rates Differentials and Linear Approximation Exponential Functions Inverse Functions and Logarithms Derivatives of Exponentials and Logarithms Inverse Trigonometric Functions Indeterminate Forms and L’Hopital’s Rule Maximum and Minimum Values The Mean Value Theorem Monotonicity, Concavity, Inflection Points First and Second Derivative Tests Curve Sketching Optimization Problems Antiderivatives—Basic Integration Exponential Growth/Decay Areas and Distance Traveled The Definite Integral Evaluating Definite Integrals (1 part of FTC) The Fundamental Theorem of Calculus Preview to more Integration using Substitution
Math 140 Learning Objectives 1 Learning Objectives 1.1 Limits and Continuity 1. Decide whether the limit of a function exists at point, given a formula or graph. 2. Calculate the limit of a function, given a formula. 3. Estimate the limit of a function, given a graph or table. 4. Determine whether a function is continuous at a point or on an interval, given a formula. 5. Determine whether a function is continuous at a point or on an interval, given a graph. 6. Calculate the limit of a function at infinity, given a formula. 7. Estimate the limit of a function at infinity, given a graph. 1.2 Derivatives 1. Distinguish between average and instantaneous rate of change. 2. Determine whether a function is differentiable at a point or on an interval, given a formula. 3. Determine whether a function is differentiable at a point or on an interval, given a graph.

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