TA: Alex Michalka
email: michalka@berkeley.edu
Phone: TBA
office hours: MWF 10-10:50, F 1-1:50 Sproul Plaza/Bear's Lair patio area

AE: Paul Li

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Course Objectives:  This summer calculus class will be an introduction to the major concepts and applications of a calculus AB course.  Topics include, but are not limited to limits, differentiation, integration, exponential functions, integration techniques, and integration and differentiation applications.  These topics will be explored as tools for problem solving, modeling, and data analysis.  Logical thinking, deductive and inductive reasoning, teamwork, presentation skills, and creative thinking will be emphasized throughout the course.   Hopefully an appreciation for math and logic as well as an understanding of the basic concepts that calculus is based upon will result from everyone’s efforts and positive attitudes.
 

Getting Help: If something in the class is unclear, please feel free to ask.  Otherwise, tutoring is available by drop-in or appointment, as well as through e-mail and/or discussion boards.  If absent, it is the student's responsibility to keep up with any missed work, however, the teacher is more than happy to help out, so feel free to contact me.  Work late due to absence must be turned in on the day of return.  Any late work is 50% off for each unexcused day late.

Discussion Boards: http://b4.boards2go.com/boards/board.cgi?user=sugargoat

Syllabus

POW expectations
 

^{What: Who are you people, rate of change, graphs, instantaneous rate of change}

^{How: Groups will analyze how two variables are related, figure out the average rate of change (what is this called?), surmise how we can get an instantaneous rate of change.  Individuals will read pages 1-10 and do PS 1-1 pg 5 problems 1 and 2, PS 1-2 pg 10 problems Q1-Q10, and PS 1-2 pg 11-13 problems 1-25 odd.}

^{What: Quiz, instantaneous rate of change/sl---/der-------, limits!  Be tolerant.}

^{How: Groups will come up with a definition for a limit, determine what is needed for a limit, and apply it to what we learned about instantaneous rates and tolerances.  Individuals will read pages 25-27 and do PS 1-5 pg 28-31 problems Q1-Q10 and 1-17 odd.}

^{What: Derivatives}

^{How: Groups will brainstorm on what a derivative is.   Individuals will read pages 79-87, and do PS 3-2 pg 81-84 problems Q1-Q10, 1-3, 5-13 (odd), 14, 19, and 20, and PS 3-3 pg 87 problems Q1-Q10, 1, 2, 9, and 11 (using the definition of a derivative)}

^{In the future: Quiz, shortcuts, anyone?}

What: common derivatives and formal definitions

Read: pg 96-102 for Wednesday

^{HW: pg 89 #10; pg 95 Q1-Q10, 1-23 odd, 27, 28, 33}

What: position, velocity, acceleration vs. time and what do they have to do with each other and derivatives?

Read: pg 102-106

pg 102 Q1-Q10, 1-9 odd

What: derivatives of sin, cos, and the chain rule

Read: pg 107-109

pg 106 all, 109 Q1-Q10 1- 25 (every 3rd...that's 1, 4, 7, 10, 13, 16, 19, 22, 25).

^Holiday

^{What: section 1-3, what is an integral}

^{Review!  Limits, rates of change, irocs, derivatives, position functions and their derivatives, derivatives of trig fxns, the chain rule}

^{HW (light): read page 13-16; do pg 16 Q1-Q10, pg 17 1, 5, 9, 11}

^{What: antiderivatives? Derfinite Integrals?  Indefinite Integrals?!?}

^{but a little midterm first!}

^{HW: read 119-121 and 181, 182 do pg 121 Q1-Q1, 1, 5, 9, 13, 15, 21, 24; do pg 182 Q1-Q10, 15 (ha!), 17}

^{What: Integral Game -- what do you know?  Definite integrals, indefinite integrals, antiderivatives, and how they are all tied together}

^{HW: pg 186 Q1-Q10, pg 188 7-39 every 4th, pg 193 Q1-Q6, Q9, 22, 24}

^{What: fill in holes such as the product rule, the quotient rule, implicit differentation, u-substitution, plus new stuff like e and ln}

^{HW: pg 252 1-9, pg 282 1, 3, 5, 7 ,25, 29, 31, 35, pg 194 31-41 odd}

^{What: Rolle's Theorem, The Mean Value Theorem, and Riemann's Sums}

 Hw: pg 200 Q1-Q8 1-11odd, pg 208 Q1-Q10 3,7,11,13 -18, 34, 39, pg 213 1,2 

^{What: Definite Integrals and Related Rates plus a little poetry}

^{HW: pg 217 Q1-Q9 odd. 7; pg 224 Q1-Q10 1-33 every 3rd; pg 227 Q2-Q10 even, 1, 2, 6}

^{What: Area between curves and rotation plus related rates again and a tootsie pop}

^{HW: special sheet pg 409 1, 3, 6; pg 410 36, 42, 48, 61; pg 420 1, 3, 7; pg 422 45, 50}

^{What: Whew!  Let's bring it all together and relate some rates}

^HW: pg123 R1, R2, R5, R7, R8
pg204 R1, R2, R4, R7-R10
pg297 R2, R3
 

^{What: Review everything (we did a lot)}

^{HW: study and final projects}

^{What: Final}

^{HW: finish up group projects}

^{What: Last minute preparation of the closing ceremony projects and goodbyes}

^{HW: Go to the closing ceremony!}