Detailed Schedule -- Calculus for Physical and Life Sciences 1

Detailed Schedule -- Calculus for Physical and Life Sciences, 1

Fall 2007, Prof. Little

This is an evolving schedule. Topics may be added, deleted, or rearranged during the course of the semester. Any changes will be announced in class and here.

Date Class Topic Reading (Stewart)

8/29 Course introduction, functions 1.1
8/31 Precalculus diagnostic quiz; functions as models 1.2
9/3 More on the ``catalog of functions'' 1.2
9/4 New functions from old ones 1.3
9/5 Lab 1: Introduction to Maple for graphing and analyzing functions (Haberlin 408) 1.4
9/7 Exponential functions 1.5
9/10 Inverse functions and logarithms 1.6
9/11 More on logarithms 1.6
9/12 Trigonometric and inverse trigonometric functions Appendix C
9/14 Spare day
9/17 Parametric curves 1.7
9/18 Review for Exam I
9/19 Lab 2: Parametric curves 1.7
9/19 Exam I given 6:00 - 7:30pm, location TBA
9/21 Tangents and velocities 2.1
9/24 Limits 2.2
9/25 The limit laws 2.3
9/26 Continuity 2.4
9/28 Limits involving infinity 2.5
10/1 Rates of change via limits 2.6
10/2 Derivatives 2.7
10/3 The derivative as a function 2.8
10/5 Lab 3: More on derivative functions 2.8
10/8, 9 No Class -- Columbus Day Break 2.9
10/10 What does f ' say about f? 2.9
10/12 Computing derivatives 3.1
10/15 Product and quotient rules, ranges of change, trig derivatives 3.2
10/16 More on the product and quotient rules 3.2
10/17 Rates of change in the sciences 3.3
10/19 Trigonometric derivatives 3.4
10/22 Chain rule for derivatives 3.5
10/23 Review for Exam II
10/24 More on the chain rule 3.5
10/24 Exam II given 6:00 - 7:30pm, location TBA
10/26 Implicit differentiation 3.6
10/29 Differentiation of inverse functions 3.7
10/30 Logarithmic differentiation 3.7
10/31 Linear approximations 3.8
11/2 Related rates problems 4.1
11/5 Spare day
11/6 Max and min values, critical points 4.2
11/7 First and second derivative tests 4.3
11/9 Curve sketching with calculus 4.4
11/12 Indeterminate forms and L'Hopital's Rule 4.5
11/13 Optimization problems 4.6
11/14 More optimization problems 4.6
11/16 Yet more optimization problems 4.6
11/19 Lab 4: Newton's method for root finding 4.8
11/20 Antiderivatives 4.9
11/21,23 No Class -- Thanksgiving Break
11/26 Areas via limits 5.1
11/27 Review for Exam III
11/28 The definite integral 5.2
11/28 Exam III given 6:00 - 7:30pm, location TBA
11/30 Lab 5: The integral, continued 5.3
12/3 The fundamental theorem 5.4
12/4 More on the fundamental theorem; course wrap-up 5.4

The final exam for this course will be given at 2:30 pm on Saturday, December 8.

Last modified: August 20, 2007

Date	Class Topic	Reading (Stewart)

8/29	Course introduction, functions	1.1
8/31	Precalculus diagnostic quiz; functions as models	1.2
9/3	More on the ``catalog of functions''	1.2
9/4	New functions from old ones	1.3
9/5	Lab 1: Introduction to Maple for graphing and analyzing functions (Haberlin 408)	1.4
9/7	Exponential functions	1.5
9/10	Inverse functions and logarithms	1.6
9/11	More on logarithms	1.6
9/12	Trigonometric and inverse trigonometric functions	Appendix C
9/14	Spare day
9/17	Parametric curves	1.7
9/18	Review for Exam I
9/19	Lab 2: Parametric curves	1.7
9/19	Exam I given 6:00 - 7:30pm, location TBA
9/21	Tangents and velocities	2.1
9/24	Limits	2.2
9/25	The limit laws	2.3
9/26	Continuity	2.4
9/28	Limits involving infinity	2.5
10/1	Rates of change via limits	2.6
10/2	Derivatives	2.7
10/3	The derivative as a function	2.8
10/5	Lab 3: More on derivative functions	2.8
10/8, 9	No Class -- Columbus Day Break	2.9
10/10	What does f ' say about f?	2.9
10/12	Computing derivatives	3.1
10/15	Product and quotient rules, ranges of change, trig derivatives	3.2
10/16	More on the product and quotient rules	3.2
10/17	Rates of change in the sciences	3.3
10/19	Trigonometric derivatives	3.4
10/22	Chain rule for derivatives	3.5
10/23	Review for Exam II
10/24	More on the chain rule	3.5
10/24	Exam II given 6:00 - 7:30pm, location TBA
10/26	Implicit differentiation	3.6
10/29	Differentiation of inverse functions	3.7
10/30	Logarithmic differentiation	3.7
10/31	Linear approximations	3.8
11/2	Related rates problems	4.1
11/5	Spare day
11/6	Max and min values, critical points	4.2
11/7	First and second derivative tests	4.3
11/9	Curve sketching with calculus	4.4
11/12	Indeterminate forms and L'Hopital's Rule	4.5
11/13	Optimization problems	4.6
11/14	More optimization problems	4.6
11/16	Yet more optimization problems	4.6
11/19	Lab 4: Newton's method for root finding	4.8
11/20	Antiderivatives	4.9
11/21,23	No Class -- Thanksgiving Break
11/26	Areas via limits	5.1
11/27	Review for Exam III
11/28	The definite integral	5.2
11/28	Exam III given 6:00 - 7:30pm, location TBA
11/30	Lab 5: The integral, continued	5.3
12/3	The fundamental theorem	5.4
12/4	More on the fundamental theorem; course wrap-up	5.4