Fall 2009

Math 19: Calculus
Eric Bahuaud

Announcements



Course Information

Instructor: Eric Bahuaud
Office: 382-Q1
Email: bahuaud at math dot stanford dot edu
Lectures: Tuesday/Thursday 9:30-10:45 AM and
11:00-12:15
Office Hours: Tuesday/Thursday: 12:30-1:30 PM
Monday 12:00-1:00 pm
Course Assistants: Jennifer Kloke Max Murphy
Office: 381-M 381-M
Email: kloke at math dot stanford dot edu mlmurphy at math dot stanford dot edu
Office Hours: Monday 1:00-3:30 PM
Wednesday 1:30-3:00 PM 		Friday 9:30-11:00 and 1:00-3:30 PM

Course Calendar


Week 1
09/22
 Tuesday
 Introductions. Review of key notation. Functions
 Sections 1.1
 Course Syllabus
HW for week 1 (Solutions)
09/24
 Thursday
 More on functions. Exponential functions.
 Sections 1.3, 1.5
 Class moved to ECON140
Week 2
09/29
 Tuesday
 Inverse functions.
Limits and limit laws
 Sections 1.6, 2.1, 2.2
 HW for week 2 (Solutions)
10/1
 Thursday
 Computing Limits
 Section 2.3
Week 3
10/6
 Tuesday
 Formal definition of limits
Continuity
Intermediate value theorem
 Appendix D
Section 2.4
 HW for week 3(Solutions)
10/8
 Thursday
 Tangent lines
The derivative at a point
The derivative as a function 		Section 2.6, 2.7
 Practise midterms below!
Week 4
10/13
 Tuesday
 Interpretations of the derivative
 Section 2.8
 HW for week 4 (solutions)
10/15
 Thursday
 Rules for computing Derivatives
Midterm 1 at 7pm! 		Section 3.1
Week 5
10/20
 Tuesday
 Product and quotient rules
 Sections 3.2, 3.3
 HW for week 5 (Solutions)

Midterm 1 solutions and graph.
10/22
 Thursday
 Derivatives of Trigonometric functions
 Sections 3.3
Week 6
10/27
 Tuesday
 The Chain Rule Sections 3.4
HW for week 6 (solutions)
10/29
 Thursday
 Implicit differentiation
Inverse trigonometric functions
 Sections 3.5 and 3.6
Week 7
11/3
 Tuesday
 Derivatives of log functions
Logarithmic differentiation
 Section 3.7
 HW for week 7
Midterm 2 practise below.
11/5
 Thursday
 Linear approximation
Rates of change in natural and social sciences 		Sections 3.9, 3.8
Week 8
11/10
 Tuesday
 Related Rates
MIDTERM 2: 7 - 9 PM
 Section 4.1
Homework for week 8 (final one!)
(Midterm solutions)
11/12
 Thursday
 Maximum and minimum values
Shape of curves 		Section 4.2, 4.3
Week 9
11/17
 Tuesday
 Infinite limits
 Section 2.5
 Recommended exercises (not to hand in)
2.5 #3, 4, 5, 7, 9, 15-36.
11/20
 Thursday
 Indetermine forms and L'Hopital's rule
 Section 4.5
Dead Week - No class Nov 24 & 26.
Week 10
12/1
 Tuesday
 Optimization problems
 Section 4.6
12/3
 Thursday
 Review

Practise Midterms!

Jennifer Kloke, the instructor for Math 19 in Winter 2008 and our course assistant this quarter has agreed to make her midterms available for practise! Try to work these out without looking for hints/solutions in the textbook first.