Math 252a Exam 1 Spring 2024

Exam will be Friday, Feb 9, usual classroom

(see notes at bottom)

Subject	%(approx)	Sections
Inverse Functions (general) Note: I will expect you to be able to find the derivative of the inverse of a function as we did for exp(x) and the inverse trig functions.	10%	6.1
exp and log (including logarithmic differentiation)	20%	6.2*,6.3*,6.4*
Inverse trig	15%	6.6
L'Hospital's rule	15%	6.8
Integration by Parts	15%	7.1
Integration of products of trig functions	15%	7.2
Trigonometric substitutions	15%	7.3

• The exam will cover Sections 6.1, 6.2*, 6.3*, 6.4*, 6.6, 6.8, 7.1-7.3
• You will be responsible as well for some of the theory, including proofs of (simpler) properties of the exp(x) and ln(x).
• Don't expect to be able to get by with just being able to do the most basic operations!
• You will be allowed to bring in ONE SIDE of ONE 8.5x11 sheet of paper with notes, formulas, anything you like on it.
• You will NOT be allowed to use a calculator.
• Please don't add the column of percentages in the above table!

Suggested review problems:

p505-7/ 33, 30, 44, 48, 53, 61, 69, 70, 73, 77, 78, 95, 96, 97, 102, 105, 106, 109, 115

p578/11, 15, 19, 22, 23, 26, 30