181 CALCULUS I (4+1) 4 credits
Instructor Course Section Time ------------------------------------------------------------------------ Eric Olson 1003 Math 181 CALCULUS I MTWRF 12:00-12:50pm AB635
whose limits define Euler's exponential base. The commands in Maple input format can be read in the browser.
10 Quizzes (drop 2) 10 points each 2 Exams 70 points each 1 Final Exam 100 points 8 Homework Assignments 10 points each ------------------------------------------ 400 points total This is an honor's course. Exams and quizzes will include challenging questions interpreted according to the following grading scale: Grade Minimum Percentage A 85 % B 70 % C 60 % D 50 % The instructor reserves the right to give +/- grades and higher grades than shown on the scale if he believes they are warranted.
August 25 Introduction to the Course August 26 Sections 1.1, 1.1a, 1.1b Inequalities August 27 Section 1.1c The Arithmetic-Geometric Means Inequality August 28 Section 1.2, 1.2a Numbers as Infinite Decimals August 29 Recitation September 1 (no class) September 2 Section 1.2b The Least Upper Bound Theorem and Rounding September 3 Section 1.2c Rounding September 4 Section 1.3, 1.3a Sequences, their Limits and sqrt(2) September 5 Practice Quiz 1 September 8 Section 1.3b Sequences and Series September 9 Section 1.3b Sequences and Series (continued) September 10 Section 1.3b Sequences and Series (continued) September 11 Quiz 2 September 12 Section 1.3c, 1.3d Nested Intervals and Cauchy Sequences September 15 Section 1.3d Cauchy Sequences (continued) September 16 Section 1.3d Cauchy Sequences (continued) September 17 Section 1.4 The number e September 18 Section 2.1, 2.1a Functions and Bounded Functions September 19 Quiz 3 September 22 Section 2.1b The Arithemtic of Functions September 23 Section 2.2, 2.2a, 2.2b Continuity September 24 Section 2.2c Extreme and Intermediate Value Theorems September 25 Section 2.3, 2.3a, 2.3b Composition and Inverse Functions September 26 Quiz 4 September 29 Section 2.4 Sine and Cosine September 30 Section 2.5, 2.5a-2.5d Exponential Functions October 1 Section 2.5e Logarithm October 2 review October 3 Exam 1 October 6 Discussion of the Exam October 7 Section 2.2b Uniform Continuity October 8 Section 2.2b Uniform Continuity (continued) October 9 The Angle Addition Formula October 10 Quiz 5 October 13 Section 3.1, 3.1a The Concept of Derivative October 14 Section 3.1b Differentiability and Continuity October 15 Section 3.1c Some Uses for the Derivative October 16 Section 3.1c Some Uses for the Derivative (continued) October 17 Quiz 6 October 20 Section 3.2, 3.2a Derivative of Sums, Products and Quotients October 21 Section 3.2b The Chain Rule October 22 Section 3.2c Higher Derivatives and Notation October 23 Section 3.3, 3.3a, 3.3b Derivative of exp(x) and log(x) October 24 Quiz 7 October 27 Section 3.3c The Power Rule October 28 Section 3.3 The Logarithm and Exponential Functions October 29 Section 3.4, 3.4a Derivative of sin(x) and cos(x) October 30 Section 3.3d The Differential Equation y' = ky October 31 (no class) November 3 Section 3.4c Derivative of Inverserve Trig Functions November 4 Section 4.1 The Mean Value Theorem November 5 Section 4.1 Using Calculus to Prove Inequalities November 6 Section 4.1 Using Calculus to Prove Inequalities November 7 Quiz 8 November 10 Section 3.4b The Differential equation y'' + y = 0 November 11 (no class) November 12 Section 4.2 The Linear Approximation Theorem November 13 review November 14 Exam 2 November 17 Section 3.4d The Differential equation y'' - y = 0 November 18 Section 4.2a, 4.2b Second Derivative Tests and Convexity November 19 Section 4.3 Taylor's Theorem November 20 Section 4.3a, Examples of Taylor Series November 21 Quiz 9 November 24 Section 4.4 Approximating Derivatives November 25 Section 4.4 Approximating Derivatives continued November 26 Section 5.1 Atmospheric Pressure November 27 (no class) November 28 (no class) December 1 Section 5.2 Laws of Motion December 2 Section 5.3 Newton's Method December 3 Section 5.3a, 5.3b Approximation of Roots December 4 review December 5 Quiz 10 December 8 Section 5.3c The Convergence of Newton's Method December 9 review December 10 (no class)
The final exam will be held on Friday, December 12 from 12:30pm-2:30pm in AB635.