Discovery Precalculus
A Creative and Connected Approach
In this interactive pre-Calculus course, you will deepen and extend your knowledge of functions, graphs, and equations from high school algebra and geometry courses so you can successfully work with the concepts in a rigorous university-level calculus course. This course is designed to engage learners in the “doing” of mathematics, emphasizing conceptual understanding of mathematical definitions and student development of logical arguments in support of solutions. The course places major emphasis on why the mathematics topics covered work within the discipline, as opposed to simply the mechanics of the mathematics.
What you'll learn
- How to make conjectures, construct logical arguments, and justify your reasoning
- The concept of function in mathematics, function characteristics and properties, and rate of change of functions
- Modeling of common relations and functions such as linear, power, exponential, and logarithmic functions using statistical regression and matrix methods
- An exploration of algebra and geometry, and the connections between the two in analytic geometry
- Properties and applications of exponential and logarithmic functions including exponential growth and decay and The Logistic Function
- The development of the trigonometric functions and identities along with applications of trigonometry
- Limits and rate of change of functions as a precursor to Calculus
- Other Coordinates Systems – an investigation of parametrization of the plane and the polar coordinate system along with exploration and use of vectors
- Sequences and Series including The Method of Induction
- Basic probability and combinatorics used in an investigation and development of the Binomial Theorem and its connections to Pascal’s Triangle
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| Rating | 3.4★ based on 5 ratings |
|---|---|
| Length | 15 weeks |
| Effort | 15 weeks, 10 hours per week |
| Starts | On Demand (Start anytime) |
| Cost | $49 |
| From | The University of Texas at Austin, UTAustinX via edX |
| Instructors | Mark L. Daniels, Jeremiah W. Lucas, Karen E. Smid |
| Download Videos | On all desktop and mobile devices |
| Language | English |
| Subjects | Mathematics |
| Tags | Math |
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What people are saying
autodidactic dilemma wrapped up
Tests are administered without instruction - as if, in asking a question, the knowledge is thereby delivered - it is an autodidactic dilemma wrapped up as guided study.
edition contemplate these ideas
I hope that in its next edition contemplate these ideas.
money he could get
I think the guy who authored the course did it to see how much money he could get.
darkness into light
I took this course and dropped almost immediately - pretentious, utterly anti-structured, without the slightest interest in the conduct of a mind from darkness into light.
dropped almost immediately
few video lectures
Unfortunately, the course does not explain concepts due to the unstructured way , very few video lectures, etc.
its next edition
learn new things
interesting for those who are interested and had math in the school before but forgot some or most materials and want to refresh their knowledge and learn new things on top of that.
mind from darkness
offered here might
I enjoyed the course very much, great course that focuses on the intuition behind the mechanics...best for people with strong algebra skills and/or previous experience with calc and pre calc I'm neutral on the provider - the linear algebra course offered here might have been the best MOOC I've encountered, but for the MATLAB crud that interfered with learning the math.
matlab crud
not too
Not too difficult with basic math background, covers a lot of areas.
Careers
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| Rating | 3.4★ based on 5 ratings |
|---|---|
| Length | 15 weeks |
| Effort | 15 weeks, 10 hours per week |
| Starts | On Demand (Start anytime) |
| Cost | $49 |
| From | The University of Texas at Austin, UTAustinX via edX |
| Instructors | Mark L. Daniels, Jeremiah W. Lucas, Karen E. Smid |
| Download Videos | On all desktop and mobile devices |
| Language | English |
| Subjects | Mathematics |
| Tags | Math |
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