Homework For Mr Santowski's Calculus Classes

 

These are the various homework "formats and oddities" that I insist upon:

 

(1) Include date, lesson title, page number and questions at the top of your HW.

(2) do your homework the evening the lesson was taught.

(3) homework is due our next class period before the lesson starts.

(4) all homework MUST be checked against the answer key in the back of the book.

(5) I MUST see RED/BLUE check marks or RED/BLUE wrong marks for your work.

(6) Any homework that is incorrect MUST be corrected (or I must see a reasonable attempt!)

(7) Collaborate with your classmates, but DO NOT simply copy their work. If you really don't understand it, SOLVE YOUR OWN PROBLEM (ASK yourself about what resources you have available to you???!?!?!?!)

(8) Graded homework will be placed in your binder in the HOMEWORK section of your notebook.

(9) When I check your homework, I look for: (i) did you follow my instructions for presenting your HW? (ii) which questions did you try/skip, (iii) what did you do when you got stuck on a question, (iv) do I see evidence of an attempt at a solution? (v) maybe I just marked ONE question in detail

 

Lesson Date Lesson Topic/Title Page/Questions

Wednesday, May 14

 

C.9.3 - Applications of Differential Equations

 

Worksheet - 9.4 from Stewart

 

Monday, May 12

 

C.9.2 - Separable Differential Equations

 

Worksheets - ANV

 

Thursday, May 8

 

C.9.1 - Differential Equations

 

Worksheets - ANV

 

Sunday, May 4

 

C.8.4 - Average Value of a Function

 

Textbook: p474, Q24-31, 34-37,39,41

 

Wednesday, April 30

 

C.8.3B - Volumes of Revolution, Shell Method

 

Handout from Calculus: One Variable, 10th ed. 2007, Salas, 6.3, Q1-24 ANV

 

Monday, April 28

 

C.8.3A - Volumes of Revolution, Disc Method

 

Handout from Calculus: One Variable, 10th ed. 2007, Salas, 6.2, Q1-26 ANV

 

Thursday, April 24

 

C.8.2B - Area Between 2 Curves

 

Handout from Calculus: One Variable, 10th ed. 2007, Salas, 6.1, Q1-26 ANV

 

Tuesday, April 22

 

C.8.2A - Area Under Curve

 

Textbook, L7.5, Q1-22 ANV

 

Mon. & Wed., April 14 & 16

 

C.8.1 - Integration by Substitution

 

Textbook, L7.2, p401-2, Q1-34 ANV

Handout from Calculus: One Variable, 10th ed. 2007, Salas, 5.7, selected Q

 

Sunday, Mar 30

 

C.7.4B - The Fundamental Theorem of Calculus, Part 2

 

Handout from Calculus, 1989, Stewart, 5.4, p390-1

(i) Graphs: Q7-10, 23-24,26,28

(ii) Algebra: Q11-16

 

Monday, Mar 23

 

C.7.4 - The Fundamental Theorem of Calculus

 

Handout from Calculus, 1988, Dunkley, p405-406, Q1,2 ANV, 3,45

Textbook, p424, Q3,5,6,36,38,40-43,50,51,52

 

Wednesday, Mar 19

 

C.7.3B - Area & Definite Integrals: An Algebraic Perspective

 

Handout from Calculus: A First Course

10.4, p474-5, Q3,4,6

 

Monday, Mar 17

 

C.7.3 - Area & Definite Integrals

 

Textbook, p392-4

(i) Algebra: Q8,9,11,13

(ii) Apps from graphs: Q23,25,27,33

(iii) Apps from charts: Q35,36

 

Tuesday, Mar 4

 

C.7.2 - Indefinite Integrals

 

Textbook, p392-4

(1) Algebra Practice: Q5-40 as needed + variety

(2) Word problems: Q45-56 (economics)

(3) Word problems: Q65-70 (motion)

 

Sunday, Mar 2

 

C.7.1 - Antiderivatives

 

Handout

Q1-8eol in Sec 9.1

Q1-6eol in Sec 9.2

 

Wednesday, Feb 27

 

B.6.5 - Linear Approximation & Differentials

 

Textbook, p374

Algebraic: Q1,3,5,7

Numeric: Q9,11,13

Word Problems:Q17,19,23,25,31

 

Thursday, Feb 21

 

B.6.3 - Related Rates

 

Textbook, p366-365,

ALL QUESTIONS, Q1-32 over the 2 lessons

 

Thursday, Feb 14

 

B.6.2 - Implicit Differentiation

 

Textbook, p359-361,

(1) Algebra: Q4,8,10-16

(2) tangent eqns: Q17-27 odds

(3) word probs: Q37,38,42,43

Use TI-89 to verify solutions

 

Monday, Feb 4

 

B.6.1 - Optimization

 

Textbook, p341-345,

Q9-13 are area/perimeter questions;

Q16,18-20,23,24 are boxes questions;

Q20-22,29-31 are cylinder questions;

Q14,17,26-28 are cost questions;

Q5-8,32-34 already give you the equation!!!

 

Sunday, Jan 27

 

B.5.4 - Extreme Values

 

Textbook, p331-334,

(i) Graphs, Q1-8

(i) Algebra: Q10-32 as needed + variety (use TI89 F3 menu & w/o TI-89)

 

Wednesday, Jan 23

 

B.5.3 - Curve Sketching

 

Textbook, p318-320,

(i) Algebra: Q8-29 as needed + variety (use TI89 F3 menu & w/o TI-89)

(ii) graphing: Q35 - 39

 

Monday, Jan 21

 

B.5.3 - Curve Sketching

 

Textbook, p318-320,

(i) Algebra: Q8-29 as needed + variety (use TI89 F3 menu & w/o TI-89)

(ii) graphing: Q35 - 39

 

Thursday, Jan 17

 

B.5.2 - Concavity and Second Derivative

 

Textbook, p307-310,

(i) Graphs: Q27-32,

(ii) Algebra: higher derivatives; Q17,21,23,

(iii) Algebra: max/min; Q33-44 as needed + variety,

(iv) Algebra: SDT; Q50,51,

(v) Word Problems: Q69,70,73,

 

Tuesday, Jan 15

 

B.5.2 - Concavity and Second Derivative

 

Textbook, p307-310,

(i) Graphs: Q27-32,

(ii) Algebra: higher derivatives; Q17,21,23,

(iii) Algebra: max/min; Q33-44 as needed + variety,

(iv) Algebra: SDT; Q50,51,

(v) Word Problems: Q69,70,73,

 

Sunday, Jan 13

 

B.5.1 - Increasing and Decreasing Functions

 

Textbook, S5.1, p278 - 282

Q7,8 (graphs)

Q9-26 (algebra, as needed plus variety)

Q34,37,39,41,42,44,46,48 (word problems)

NOTE: I will be marking word problems for solutions and answers

 

Sunday, Dec 9

 

B.5.1 - Increasing and Decreasing Functions

 

Textbook, S5.1, p278 - 282

Q7,8 (graphs)

Q9-26 (algebra, as needed plus variety)

Q34,37,39,41,42,44,46,48 (word problems)

NOTE: I will be marking word problems for solutions and answers

 

Monday, Dec 3

 

B.4.6 - Derivatives of Trigonometric Functions

 

Handout from Stewart, Calculus: A First Course, 1989, Chap 7.2

Q1&3 as needed plus variety, 4-7,9

 

Thursday, Nov 29

 

B.4.5 - Derivatives of Logarithmic Functions

 

S4.5, p260-1

(1) Algebra: Q1-39 as needed plus variety

 

Tuesday, Nov 27

 

B.4.4 - Derivatives of Exponential Functions

 

S4.4, p251-253

(1) Algebra: Q1-27 as needed plus variety

 

Sunday, Nov 25

 

B.4.3 - The Chain Rule

 

S4.3, p243-4

(1) Algebra Practice: Q22-41,45-50 as needed until proficient => practice variety

(2) concept: Q43-44

(3) Applications (also algebra): Q53,55,58,64

 

Tuesday, Nov 13

 

B.4.2 - The Product & Quotient Rules

 

S4.2, p234

(1) Algebra Practice: Q1-28 odds

(2) Word problems: Q36-47

 

Sunday, Nov 11

 

B.4.1 - The Power Rule & Sum/Difference Rules

 

S4.1, p223-227

(1) Algebra Practice: Q8,10,16,19,22,43

(2) tangent lines: Q31,33,36,37,42

(3) Word problems: Q50,51,53,55,56,58,61,69

 

Wednesday, Nov 7

 

B.3.5 - Graphical Differentiation

 

S3.5, p201-204

Q1,2,4,6 (explanations required)

Q7-14 (sketches required)

Q15-19 (word problems)

 

Thursday, Nov 1

 

B.3.4 - The Derivative

 

S3.4, page 191-194

(1) Q1,12,14,16,18,20,22,24,30 (algebraic work - verify using GDC)

(2) Q5-9, (graphs)

(3) Q45-48 (word problems)

(4) Q42

 

Sunday, October 28

 

B.3.3 - Rates of Change

 

S3.3, p173-178

(1) average rate of change: Q1,3,6,8

(2) instantaneous rate of change: Q9,12,14,15 (do algebraically)

(3) numerically: Q17,20

(4) applications: Q27-29,32,34,39,41

NOTE: I AM MARKING EVEN #s

 

Wednesday, October 24

 

B.3.2 - Continuity

 

Text, p164-166

Q4,5,6 (graphs)

Q7,13,15,17 (algebra)

Q19,23,25,27 work with piecewise

Q33,37,39 (word problems)

 

Thursday, October 18

Monday, October 22

 

B.3.1 - Limits

 

Text, p152-158

Q5,7,9,11,13 (graphs)

Q15,17 (ToV)

Q23,24,25,28,29 (limit laws)

Q33,37,39,42,45,48,63, (algebra)

Q53,58,67

Q74,75,81 (word problems)

 

Ongoing ... i.e. continuous

 

Limits and Continuity Theme

 

Limits Worksheet

And answer Key

 

Sunday, October 7

 

A9 - Trigonometric Functions

 

Follow here to get to scanned HANDOUT pages

The second page and answers

Suggested work would be Q2b,3,4a,5c,9ade,10b as a minimum.

 

Wednesday, October 3

 

A8 - Logarithmic Functions

 

Text pages 113-117

(1) Evaluate logs, Q19,20,23

(1) properties of logs, Q31,33,35

(2) solving eqns, Q39,41,51,53,60

(3) apps, Q71,77,81

 

Monday, October 1

 

A7 - Exponential Functions

 

Follow here to get to scanned HANDOUT pages. I recommend Q4 for graphing and Q5 for limits

From our textbook, p99-103

(1) for work with graphs, Q3-11

(2) for work with solving eqns, Q15,16,19,10,21,22

(3) for applications, Q35,40 (see pg95-6)

SPECIAL NOTE: HAND IN THE QUESTIONS YOU WORKED ON!!!

 

Tuesday, September 25

 

A6 - Inequalities

 

Follow here to get to scanned NELSON TEXTBOOK PAGES. Do Q31 without TI-89 and Q30 with the TI-89

(To be announced in class)

 

Sunday, September 23

 

A5 - Rational Functions

 

Follow here to get to scanned TEXT PAGES

(1) Algebra Practice: HO, p354, Q6,7,8,10 (If you need the practice - not to be submitted)

(2) Graphing Practice: p85-89, Q27,31,33,37 (and HO, p350 - If you need the practice - not to be submitted)

(3) Word Problems: p85-89, Q45,49,57

 

Wednesday, September 19

 

A4 - Polynomial Functions

 

Follow here to get to scanned TEXT PAGES

(1) Algebra Practice: HO, p77, Q26ace,27a,28ac

(2) Graphing Practice: HO, p77, Q26ce,27b,28ac

(3) Word Problems: Section 2.3, p87, Q46,53,54,61

 

Monday, September 17

 

A3 - Quadratic Functions

 

Follow here to get to scanned TEXT PAGES

Section 2.2, p72-76, Q13,15,17,19 (work algebraically)

Section 2.2, p72-76, Q43,48,50,51,52,56,60,61 (word problems)

 

Tuesday, September 11

Thursday, September 13

 

A2 - Linear Functions

 

Follow here to get to scanned TEXT PAGES

Section 1.1, p15-19, Q3,7,15,19,25,29,31,36,63,64,68,71,72,75

Section 1.2, p27-29, Q18,23,24,27

Section 1.3, p38-43, Q7,12,14,16

 

Sunday, September 9

 

A1 - Properties of Functions

 

Follow here to get to scanned TEXT PAGES

Section 2.1, p59-63

Q1,4,7; Q22,25,29,32,35 (domains from eqns); Q37,39,46 (domains from graphs); Q20,43,51,54 (Involving some algebra); Q68,71,73 (Application WP)