Math 210, Calculus and Analytical Geometry I

 

Course Syllabus

Required Materials:

·         Text: Thomas’ Calculus: Early Transcendentals, Media upgrade, 11th ed., part I (text on reserve at the library).

·         My Math Lab Student Access pack (packaged with book if bought and Mendocino College bookstore).

·         Graphing Calculator (TI-89, -89 Titanium, or Voyager recommended)

 

Optional Materials:

·         Student Solutions Manual, part I (on reserve at the library).

·         Other materials purchasable online at http://www.mypearsonstore.com/bookstore/product.asp?isbn=0321498747

 

Prerequisites: Mth 200 or qualification for Mth 210 through the assessment process.

 

Topics: The class will cover chapters 1 through 5 in the text mentioned above, and maybe some of chapter 6 if time permits.  This will include the topics of functions, including exponentials and logarithms, the definitions of limits and continuity from a non-rigorous point of view, the definition of the derivative of a function and its applications, the basic definitions of Riemann Sums, and indefinite and definite integration with applications.

 

Evaluation: The grade that you earn in the course will be obtained through homework/in-class assignments, two midterm exams, and a cumulative final in the following proportions:

 

Homework/MML assignments: 25%

Two midterm exams: 25% each

Final: 25%

 

Homework will be assigned at each class meeting, but only one or two of these will be collected and graded each week.  You'll be notified at the time of assignment whether or not to submit work at the next class meeting.

Test coverage:

            Test 1: Chapters 1 and 2

            Test 2: Chapters 3 and 4

            Final: all material covered in-class

 

Late policy: Late homework/exams may be submitted/taken only with the permission of the instructor.  This means you need to inform me of an absence prior to a due/test date.  A sufficient reason must be given for missing exams.

 

Cell Phone Policy: Use of cell phones is prohibited at all times.  A first infraction will result in a warning, a second infraction will result in removal from the class for the day, and a third will result in removal from the class for the remainder of the semester.  Forgetting to turn off a cell phone and receiving a call ring will constitute an infraction.

 

Advice: As calculus is the culmination of mathematics for most students, it will become expected that you begin to become more independent in your learning.  Accordingly, you need to start combining previous subjects with new material to tackle new problems without direct instruction.  Thus, you should:

  • Know algebra, trigonometry, and precalculus well; you are responsible for knowing these subjects and should review them if necessary.  There are resources at the library.
  • Read the text and examples before the lecture.  Come to class already knowing something about what will be covered.
  • Do every assigned problem, and more.  Prolific practice makes perfect.
  • Ask questions if you don't understand something.  Participate during the lecture.  Work with others and visit your instructor during office hours.
  • Keep up with the class.  Procrastination only makes things worse.
  • Spend at least 10 hours a week outside of class reading, doing problems, and reviewing.
  • Relax, tension is a math student's worst enemy.  Give yourself a break occasionally.  If you’ve worked hard, then you deserve a little rest.

 

 

Homework Assignments

In the following list, turn-in assignments are preceded by TI, and their respective due dates will be announced in class.  Assignments preceded by DNTI are intended for your benefit only, and do not need to be turned in.

 

  1. 1.1 TI p. 8: 2-30 even, 39, 40.
  2. DNTI trig review p. A46: 3-7, 19-27, 31-37 odd.

                  1.2 p. 19: 1-17, 19-27, 31-35 odd.

  1. 1.3 TI p. 28: 5-12 all
  2. 1.5 DNTI p. 45: 1-5, 11-19, 25, 27 odd.

      Also: if f(x) = 3x, g(x) = x4, and h(x) = x+1

·         compose h(g(f(x))) and g(f(h(x)))

·         decompose y = 3^(x4)+1 and y = (3^(x+1)4+1)4

  1. 1.6 DNTI p. 59: 25-61 odd.
  2. 2.1 TI p. 75: 2-6, 10-18, 22-46 even.
  3. 2.2 DNTI p. 83 1-7, 11, 17, 21, 25-33, 37, 39, 43-55, 59 odd.
  4. 2.4 DNTI p. 106: 1-17, 23, 27, 33-43, 47, 51-61, 67, 73 odd.

      MML TI 2.4

  1. 2.5 TI p.117: 2-26, 40, 42 even.  Also: calculate 1) lim as x→ - ∞ (x3), 2) lim as x→ +∞ (x1/2), 3) lim as x→ +∞ (log1/3 x)
  2. 2.6 DNTI p. 129: 1-27, 45-49, 55, 57 odd.
  3. 2.7 DNTI p. 136: 1-29, 35-41 odd

      MML TI 2.7

  1. 3.1 TI p. 152: 2, 4, 8, 12, 16-22, 28-36, 42, 44 even.
  2. 3.2 DNTI p. 167: 1-37, 41-47, 51, 55 odd.
  3. 3.3 DNTI p. 177: 1-21, 25-35 odd.

      MML TI 3.3

  1. 3.4 TI p. 186: 2-38, 46, 58 even.
  2. 3.5 DNTI p. 199: 3, 9-61, 71-75, 79-107, 111, 115 odd, 94.
  3. 3.6 DNTI p. 209: 1-45, 57, 59, 67 odd.

      MML TI 3.6

  1. 3.7 TI p.221: 14, 18-28, 34, 38-44, 48, 50, 54, 58, 62, 64, 68-82, 90-96 even.
  2. 3.8 DNTI p. 230: 49-69 odd.
  3. 3.9 DNTI p. 236: 1, 3, 7-25, 31, 35 odd.

      MML TI 3.9

  1. 4.1 TI p. 272: 2, 4, 8-14, 18-26, 32-36, 42, 44, 48, 52, 66, 68 a), 72, even, 73.
  2. 4.3 DNTI p. 289: 1, 3, 7, 13-17, 23, 27, 29, 33, 39, 47, 49 odd.
  3. 4.4 DNTI p. 298: 3, 5, 9, 11, 17-25, 43-47, 57, 59, 63-71 odd.

      MML TI 4.4

  1. 4.5 TI p. 309: 8-16, 21, 24-26, 34, 36 even, 37, 39.
  2. 4.6 DNTI p. 323: 7-55 odd.
  3. 5.1 DNTI p. 360: 1-19 odd.
  4. 5.2 DNTI p. 369: 1-31 odd, 35-40 all.

      MML TI 5.2

  1. 5.3 TI p. 380: 6, 10-60 even.
  2. 4.8 TI p. 338: 12-20, 26-72, 78, 84, 88, 104, 106, 114, 118, 122, 124 even
  3. 5.4 DNTI p. 392: 1-29, 35-59, 73 odd.
  4. 5.5 DNTI p. 402: 1-43, 47-53 odd

      MML TI 5.5

  1. 5.6 TI p. 410: 4-8, 12, 18, 24, 26, 30, 36, 44-62, 66, 68, 74, 76, 82, 84, 94, 96, 100, 104, 106 even.