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Schedule for Precalculus 2.9 |
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Week of |
Topics |
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Homework
(page / problems assignment) |
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Jan 23 |
Administrivia
and Introduction. |
Sections:1.3, 1.4, 1.5, 1.6 |
No homework yet. |
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| Jan 31 |
Basic algebra review.
Numbers. Integers: prime numbers and divisibility. Reals: rational and
irrational numbers. Expressions with real numbers and
simplification. Equations and inequalities with real numbers. |
30 / 15,17,22,30 41 / 13,15,23,26,29,49,51,60 50 / 1,4,7,12,32 64 / 43,44,93,94 |
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| Feb 7 |
The absolute value function. The coordinate plane. Graphing equations. |
Sections 2.1,2.2 |
92 / 7,8,35,36,46,51,56,61,62,69,71 |
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| Feb 14 |
The absolute value function.
Overview of graphs transformations. |
Sections 3.8, 4.5. |
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| Feb 21 |
Quadratic equations; completing the
square. Inequalities. Solving linear and quadratic inequalities. |
Sections 3.3, 3.6, 3.7 |
161 / 1,5,9, 12,33,39,53,54 185 / 17,27,30,35,45,51 195 / 4,11,22,28 |
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| Feb 28 |
Increasing and decreasing functions.
Concave up and concave down functions. Average rate of change.
Combining functions. |
Sections 4.4, 4.7 |
245 / 2,4,9,10,15,23,24 276 / 29, 30, 33,34,40,45,50 |
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| Mar 7 |
Combinig functions (continuation).
Calculating the range of a function. One-to-one functions. Inverse
functions. Computing the inverse. Take-home
midterm (Offer expired :). See make-up below). |
The take-home midterm is due back on Thursday, March 16-th. Use your own paper for the solutions. Please, attempt to solve all problems in two hours and evaluate your performance. You could go back and continue for as long as needed, but remember that the exam has the difficulty of a two-hour test. Please, justify your answers for full credit. No calculators are needed, do not simplify answers that need a calculator. | |||||
| Mar 14 |
Graphing a function. Polynomial
functions. |
Section 5.1 |
323 / 1,2,8,12,15,27,33,35-40,65,68 The midterm will be marked and returned to you on Tuesday, March 21-st. Please, come see me in my office hours if you have any questions about the grading or if you need any extra help . |
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| Mar 21 |
Graphs of polynomials. Zeros of
polynomials and multiplicity. Factoring. |
Sections 5.2, 5.3 |
322 / 3,5,744,45 342 / 33,38, 40,43,48 Is you passed the dead-line for submitting your take-home paper, you can take a make-up test . |
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| Mar 28 |
Statement of the Fundamental Theorem
of Algebra. Introduction to exponential functions. |
Sections 5.4, 6.1 |
No homework. Sample midterm II. |
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| Apr 4 |
Exponential functions. Logarithms. |
Sections 6.2 to 6.6 |
Practice problems (optional): 405 / 13,19,20,22,24,37-42 411 / 13,19,36,38,41 418 / 7,9,15,19,20,25,3137,44,45 436 / 81,85 |
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| Apr 18 |
Spring recess, nothing at all. |
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| Apr 25 |
Midterm II (take-home, due on Thursday May 4-th) | ||||||
| May 2 |
Geometry and trigonometry. The unit
circle. Trigonometric identities. The double-angle and the half-angle
formulas. |
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| May 9 |
The laws of sines and cosines.
Trigonometric graphs and transformations. Inverse trigonometric
functions. Equations. Practice sheet to be handed out in class, on Tu, May 16-th. |
Sections |
Practice problems: |
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