MATH 1830 Applications of Calculus 11/20/2018 MATH 1830 Applications of Calculus for Business and Life Science Majors 368 Dunn Hall 678-4174 ddwiggns@memphis.edu Office Hours: 11:30–1:30 Monday through Thursday D. P. Dwiggins, PhD Department of Mathematical Sciences August 27, 2018 August 27, 2018

Course Outline A Review of Functional Analysis Applications of Differential Calculus First and Second Derivative Tests Optimization and Related Rates Linearization and Quadratic Approximation Applications of Integral Calculus Geometric Calculations Probability Theory Other Applications Marginal Analysis Consumer’s and Producer’s Surplus Population Growth Models Learning Curves Chemical Reactions

MyMathLab Textbook: Calculus and its Applications, Bittinger and Ellenbogen, Ninth Edition Published by Pearson, who has since come out with the Tenth and Eleventh editions of the textbook mymathlab.com directs you to the publisher’s website, which has electronic versions of 10th and 11th but not 9th The class code for MATH 1830 is dwiggins 63686. There will be ten online assignments leading to an online homework score which may be used to raise your average at the end of the semester. The website also contains tutorials and other useful material. If you have a hard copy of the textbook, you do not need to purchase access to the publisher’s website, other than for the reasons listed above.

Grading Procedure Course Evaluation: There will be four 100-point tests and a 100-point Daily Average, which is based on quizzes and homework. The lowest of these five 100-point scores will be dropped, and the next lowest may be replaced by the final exam score, if higher. Grade Calculation: The final exam is also worth 100 points which, along with the quizzes and tests, gives a total of 500 points. Divide the resulting total by 5 to obtain the semester average. If you complete the publisher’s online assignments and this homework score is higher than the average computed above, then I will add in the online homework score, giving a total of 600 points, dividing by 6 to give a higher semester average.

R.1-3 (Review Chapter) Functions and Graphs

Application of Exponential Functions: Compound Interest

R.1-3 (Review Chapter) Practice Exercises Note: the following page numbers are from the ninth edition of the textbook page 11: # 1-18 page 13: # 29-32 page 25: # 19-23 page 26: # 49-59 page 37: # 33-46 Tenth Edition Page Numbers page 10 pages 11-12 pages 21-22 page 23 page 32