First course in the three part basic calculus sequence for students majoring in mathematics, science, or engineering. Topics include limits, continuity, differentiation, applications of differentiation, and integration. Applications of the derivative are covered in detail, including approximations of errors using differentials, maxima and minima problems, curve sketching, optimization problems, and Newton's Method. Topics on integration include Riemann sums, properties of definite integrals, integration by substitution, and integrals involving logarithmic, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.
This is an honors course and you should expect to be challenged. You will be expected to have a greater proficiency with prerequisite material. We will do more applications and more challenging problems than Math 125.
1 Functions and Limits
2 Derivatives
3 Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions (3.6, 3.7 omit)
4 Applications of Differentiation
5 Integrals
7 Applications of Integration (7.1 only – Areas Between Curves)
Comprehensive Exam 1: September 11; 6:30-7:50pm in Lloyd 120
Comprehensive Exam 2: October 2; 6:30-7:50pm in Lloyd 120
Comprehensive Exam 3: October 23; 6:30-7:50pm in Lloyd 120
Comprehensive Exam 4: November 27; 6:30-7:50pm in Lloyd 120
Comprehensive Final exam: December 10; 8-10:30am in Lloyd 120
There will be weekly webassign assignments.
There will be sporadic but pre-announced quizzes in class.
Webassign: 20%
Exams: 10+10+10+10 = 40% total
Final Exam: 30%
Quizzes: 10%
A+ = [97, 100], A = [93,97), A- = [90,93),
B+ = [87, 90), B = [83,87), B- = [80,83),
C+ = [77, 80), C = [73,77), C- = [70,73),
D+ = [67, 70), D = [63,67), D- = [60,63),
F = [0,60)
Exams: If it is to your advantage, your lowest exam score will be replaced with your final exam score. There will be no make-up exams. If you miss an exam, that exam's score will be the one replaced by your final exam score. You should not miss two exams, nor miss the final.
Quizzes: your lowest quiz score will be dropped. A missed quiz will be your one dropped quiz.
Webassign: 10% of your webassign assignments will be dropped. Answers are released after the due date, so it is not possible to make-up homework.
You are expected to do more than just attend class. You are expected to stay on top of the material. This includes being able to participate in class, reading past and future material in the book, doing recommended exercises, studying notes from previous lectures, and doing homework.
Attendance will be taken but it will not be a formal part of your grade.
Cell phones must be out of sight and out of mind during class.
The book is Stewart's Essential Calculus: Early Transcendentals second edition.
The publisher has said that you can buy the course materials here at a discount:
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The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.
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