AMS 3

Topics covered in AMS 3

Usual text for AMS 3, Precalculus for the Social Sciences:
Precalculus, 7th edition, by Sullivan and Sullivan

Gray sections are skipped and chapters not covered aren't shown.

WARNING: The text may be changed at the instructor's discretion.

2. Functions and Their Graphs

2.1 Functions
2.2 The Graph of a Function
2.3 Properties of Functions
2.4 Library of Functions; Piecewise-defined Functions
2.5 Graphing Techniques: Transformations
2.6 Mathematical Models: Building Functions

3. Linear and Quadratic Functions

3.1 Properties of Linear Functions and Linear Models
3.2 Building Linear Models from Data
3.3 Quadratic Functions and Their Properties
3.4 Build Quadratic Models from Verbal Descriptions and from Data
3.5 Inequalities Involving Quadratic Functions

4. Polynomial and Rational Functions

4.1 Polynomial Functions and Models
4.2 The Real Zeros of a Polynomial Function
4.3 Complex Zeros; Fundamental Theorem of Algebra
4.4 Properties of Rational Functions
4.5 The Graph of a Rational Function
4.6 Polynomial and Rational Inequalities

5. Exponential and Logarithmic Functions

5.1 Composite Functions
5.2 One-to-One Functions; Inverse Functions
5.3 Exponential Functions
5.4 Logarithmic Functions
5.5 Properties of Logarithms
5.6 Logarithmic and Exponential Equations
5.7 Financial Models
5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
5.9 Building Exponential, Logarithmic, and Logistic Models from Data

6. Trigonometric Functions

6.1 Angles and Their Measure
6.2 Trigonometric Functions: Unit Circle Approach
6.3 Properties of the Trigonometric Functions
6.4 Graphs of the Sine and Cosine Functions
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.6 Phase Shift; Sinusoidal Curve Fitting

7. Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions
7.2 The Inverse Trigonometric Functions (Continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum and Difference Formulas
7.6 Double-angle and Half-angle Formulas
7.7 Product-to-Sum and Sum-to-Product Formulas

8. Applications of Trigonometric Functions

8.1 Right Triangle Trigonometry; Applications
8.2 The Law of Sines
8.3 The Law of Cosines
8.4 Area of a Triangle
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

9. Polar Coordinates; Vectors

9.1 Polar Coordinates
9.2 Polar Equations and Graphs
9.3 The Complex Plane; DeMoivre’s Theorem
9.4 Vectors
9.5 The Dot Product
9.6 Vectors in Space
9.7 The Cross Product

14 Comments

  3. Fantastic goods from you, man. I’ve understand your stuff previous to and you’re just extremely
    fantastic. I really like what you’ve acquired here, certainly like
    what you’re saying and the way in which you say it. You make it
    entertaining and you still care for to keep it sensible.
    I cant wait to read much more from you. This is really
    a great site.

    Check out my homepage :: cbainfo.com.ar

  5. Hey there! I could have sworn I’ve been to this website before but
    after browsing through some of the post I realized it’s new to me.
    Nonetheless, I’m definitely delighted I found it and I’ll be bookmarking and checking
    back frequently!

    Look into my web site: seo

  6. Usually I do not read article on blogs, however I would like to say that this write-up very pressured me to take a look at and do so!
    Your writing style has been surprised me. Thank you, quite nice post.

    Also visit my site: SLOT GACOR GAMPANG MENANG

  8. Hey There. I found your blog using msn. This is a very well written article.
    I’ll make sure to bookmark it and come back to read more
    of your useful info. Thanks for the post.
    I’ll definitely comeback.

    my homepage; bongkar trik slot online

  11. Wow, fatastic blog structure! Hoow lopng hav you been blogging for?

    yyou made blogging glance easy. The overwll glanc off yourr web site is wonderful, leet alonhe the content!

    Here iss mmy pasge – xxxmissav.com

Leave a Reply

Your email address will not be published. Required fields are marked *