Math 149 Calculus Precalculus II Course Description from Bulletin MATH 149 Calculus Precalculus II 4 1 5 C Applications of derivatives related rates maxima and minima monotonicity concavity graphing and optimization Antiderivatives first order differential equations Definite integrals and applications Implicit and inverse functions and inverse trigonometric functions Enrollment Elective for AM and other majors by placement exam with consent of the the AM Director of Undergraduate Studies Textbook s James Stewart Single Variable Calculus 6th Ed Thomson Brooks Cole 2008 2003 ISBN 10 0 495 01160 76 David Cohen with Theodore B Lee David Sklar Precalculus A ProblemsOriented Approach 6th Ed Thomson Brooks Cole 2004 ISBN 0 534 40212 7 Other required material MuPAD Symbolic Math Toolbox in MATLAB access optional student version available WebAssign access Prerequisites MATH 148 Calculus Precalculus I or consent of the instructor Objectives Students will 1 be able to use differentiation for finding extrema related rates and solving optimization problems 2 be able to differentiate implicit inverse and inverse trigonometric functions 3 be able to find antiderivatives and solve simple first order differential equations 4 be able to compute definite integrals of simple functions by using Riemann sums and by using the Fundamental Theorem of Calculus 5 be able to use integration in simple applications to geometry science and engineering 6 develop their ability to use a computer algebra system for exploring mathematical concepts by completing computer laboratory assignments 7 develop their ability to communicate mathematical ideas by completing a writing project and presentation assignments Lecture schedule three 75 minute lectures per week Laboratory Recitation schedule one 75 minute period per week alternating laboratory with recitation Course Outline 1 Introduction and Review a Uses of dy dx notation 2 Applications of Differentiation a Related rates b Maxima and minima mean value theorem first derivative test c Concavity flexpoints graphing Syllabus Math 149 doc Revised 2 February 2010 8 19 PM Hours 3 13 Page 1 of 2 d Optimization 3 Differentiation techniques a Implicit differentiation b Inverse functions c Inverse trigonometric functions and their derivatives 4 Additional Applications of Differentiation a Differentials b Newton s method c Antiderivatives and differential equations 5 Integration a The definite integral b Fundamental Theorem of Calculus areas c Integration by substitution numerical integration 6 Applications of Integration a Geometric applications of integration b Physical applications of integration 7 Exponential and Logarithmic Functions Total Assessment 10 10 10 7 3 56 Attendance Homework Computer Laboratory Recitation Assignments Writing Project Weekly Quizzes Midterm Examinations Final Exam 5 5 5 5 5 Bonus 10 45 25 Syllabus prepared by Patrick Dale McCray and Susan Sitton Date Jan 9 2006 Syllabus Math 149 doc Revised 2 February 2010 8 19 PM Page 2 of 2
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