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, Q2431, 3437,39,41

Wednesday, April 30

C.8.3B  Volumes of Revolution, Shell Method

Handout from Calculus: One Variable, 10th ed. 2007, Salas, §6.3, Q124 ANV

Monday, April 28

C.8.3A  Volumes of Revolution, Disc Method

Handout from Calculus: One Variable, 10th ed. 2007, Salas, §6.2, Q126 ANV

Thursday, April 24

C.8.2B  Area Between 2 Curves

Handout from Calculus: One Variable, 10th ed. 2007, Salas, §6.1, Q126 ANV

Tuesday, April 22

C.8.2A  Area Under Curve

Textbook, L7.5, Q122 ANV

Mon. & Wed., April 14 & 16

C.8.1  Integration by Substitution

Textbook, L7.2, p4012, Q134 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, p3901 (i) Graphs: Q710, 2324,26,28 (ii) Algebra: Q1116

Monday, Mar 23

C.7.4  The Fundamental Theorem of Calculus

Handout from Calculus, 1988, Dunkley, p405406, Q1,2 ANV, 3,45 Textbook, p424, Q3,5,6,36,38,4043,50,51,52

Wednesday, Mar 19

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

Handout from Calculus: A First Course §10.4, p4745, Q3,4,6

Monday, Mar 17

C.7.3  Area & Definite Integrals

Textbook, p3924 (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, p3924 (1) Algebra Practice: Q540 as needed + variety (2) Word problems: Q4556 (economics) (3) Word problems: Q6570 (motion)

Sunday, Mar 2

C.7.1  Antiderivatives

Handout Q18eol in Sec 9.1 Q16eol 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, p366365, ALL QUESTIONS, Q132 over the 2 lessons

Thursday, Feb 14

B.6.2  Implicit Differentiation

Textbook, p359361, (1) Algebra: Q4,8,1016 (2) tangent eqns: Q1727 odds (3) word probs: Q37,38,42,43 Use TI89 to verify solutions

Monday, Feb 4

B.6.1  Optimization

Textbook, p341345, Q913 are area/perimeter questions; Q16,1820,23,24 are boxes questions; Q2022,2931 are cylinder questions; Q14,17,2628 are cost questions; Q58,3234 already give you the equation!!!

Sunday, Jan 27

B.5.4  Extreme Values

Textbook, p331334, (i) Graphs, Q18 (i) Algebra: Q1032 as needed + variety (use TI89 F3 menu & w/o TI89)

Wednesday, Jan 23

B.5.3  Curve Sketching

Textbook, p318320, (i) Algebra: Q829 as needed + variety (use TI89 F3 menu & w/o TI89) (ii) graphing: Q35  39

Monday, Jan 21

B.5.3  Curve Sketching

Textbook, p318320, (i) Algebra: Q829 as needed + variety (use TI89 F3 menu & w/o TI89) (ii) graphing: Q35  39

Thursday, Jan 17

B.5.2  Concavity and Second Derivative

Textbook, p307310, (i) Graphs: Q2732, (ii) Algebra: higher derivatives; Q17,21,23, (iii) Algebra: max/min; Q3344 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, p307310, (i) Graphs: Q2732, (ii) Algebra: higher derivatives; Q17,21,23, (iii) Algebra: max/min; Q3344 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) Q926 (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) Q926 (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, 47,9

Thursday, Nov 29

B.4.5  Derivatives of Logarithmic Functions

S4.5, p2601 (1) Algebra: Q139 as needed plus variety

Tuesday, Nov 27

B.4.4  Derivatives of Exponential Functions

S4.4, p251253 (1) Algebra: Q127 as needed plus variety

Sunday, Nov 25

B.4.3  The Chain Rule

S4.3, p2434 (1) Algebra Practice: Q2241,4550 as needed until proficient => practice variety (2) concept: Q4344 (3) Applications (also algebra): Q53,55,58,64

Tuesday, Nov 13

B.4.2  The Product & Quotient Rules

S4.2, p234 (1) Algebra Practice: Q128 odds (2) Word problems: Q3647

Sunday, Nov 11

B.4.1  The Power Rule & Sum/Difference Rules

S4.1, p223227 (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, p201204 Q1,2,4,6 (explanations required) Q714 (sketches required) Q1519 (word problems)

Thursday, Nov 1

B.3.4  The Derivative

S3.4, page 191194 (1) Q1,12,14,16,18,20,22,24,30 (algebraic work  verify using GDC) (2) Q59, (graphs) (3) Q4548 (word problems) (4) Q42

Sunday, October 28

B.3.3  Rates of Change

S3.3, p173178 (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: Q2729,32,34,39,41 NOTE: I AM MARKING EVEN #s

Wednesday, October 24

B.3.2  Continuity

Text, p164166 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, p152158 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


Sunday, October 7

A9  Trigonometric Functions

Follow here to get to scanned HANDOUT pages Suggested work would be Q2b,3,4a,5c,9ade,10b as a minimum.

Wednesday, October 3

A8  Logarithmic Functions

Text pages 113117 (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, p99103 (1) for work with graphs, Q311 (2) for work with solving eqns, Q15,16,19,10,21,22 (3) for applications, Q35,40 (see pg956) 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 TI89 and Q30 with the TI89 (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: p8589, Q27,31,33,37 (and HO, p350  If you need the practice  not to be submitted) (3) Word Problems: p8589, 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, p7276, Q13,15,17,19 (work algebraically) Section 2.2, p7276, 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, p1519, Q3,7,15,19,25,29,31,36,63,64,68,71,72,75 Section 1.2, p2729, Q18,23,24,27 Section 1.3, p3843, Q7,12,14,16

Sunday, September 9

A1  Properties of Functions

Follow here to get to scanned TEXT PAGES Section 2.1, p5963 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)
