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Rate Of Change 4, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

1. Monotonic Sequences, Ruth Dover

Series

Practice with monotonic sequences.

Approximations 3, Ruth Dover

Integrals

Understanding Riemann sum approximations, including technology.

2. Geometric Series, Ruth Dover

Series

Quick review of geometric series.

Series 01, Ruth Dover

Series

Asks students to create a polynomial function for y = ln(1 + x), extends the polynomial to a series, examines the interval of convergence and error.

Series 04, Ruth Dover

Series

A closer examination of y = cosx and y = sinx, including error estimation.

2. Population, Ruth Dover

Differential Equations

Introduction to logistic population growth.

More Limits, Ruth Dover

Limits

No abstract provided.

Limits1, Ruth Dover

Limits

A basic idea to limits and notation.

2. Intro To Concavity, Ruth Dover

More on Derivatives

Looking at changes in ƒ’ to understand concavity.

3. Upper Bounds, Ruth Dover

Series

Understanding upper bounds and a proof of the divergence of the harmonic series.

Approximating Alternating Series, Ruth Dover

Series

Error bounds with alternating series.

3: Drugs And De's, Ruth Dover

Differential Equations

Making a connection between discrete recursion and differential equations.

Rate Of Change 3, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

Uno Website-Gened Committee-Mathematics, Uno General Education Assessment Committee

Student Learning

Algebra is a foundational branch of mathematics that involves operations and relations, and which emphasizes the process of formulating, solving, interpreting, and applying equations of many different types to solve many different real-world problems, using systems of abstract symbols. It is a branch of mathematics with significant applications across a wide variety of disciplines.

Fundamental academic skills, consisting of Mathematics, English & Writing, and Public Speaking coursework, comprise 15 hours of the general education requirements. Students must complete three credit hours of Mathematics coursework.

Understanding The Transition From Secondary Education Mathematics To Undergraduate Mathematics, Amanda D. Stenzelbarton

Dissertations, Master's Theses and Master's Reports

Michigan Technological University had a collective 28% drop, fail, or withdraw rate in four predominantly first-year mathematics classes for the fall semesters from 2011 to 2015, with 58% of students dropping, failing, or withdrawing from College Algebra I in the fall of 2013. A survey was distributed via email to the 2015-2016 first year class of Michigan Tech in an attempt to determine why students struggle in making the transition from high school to undergraduate mathematics class, and what instructors can do to make this transition easier for students. It was found that the time between a student’s last high …

Using Mathematical Research Methods To Solve A Problem In Music Theory Instruction, Specifically, The Teaching Of Secondary Dominant Chords, Angela Ulrich

Williams Honors College, Honors Research Projects

The mathematical method for research is used to find a solution to a problem in music theory: understanding and identifying secondary dominant chords. By reviewing and assessing the teaching methods of university professors and theory textbooks, and comparing those findings with student reviews, a new method for teaching the concept is developed. The proposed system incorporates aural, visual, and kinetic exercises to serve every learner. The literature review and sample unit plan are followed by a possible procedure for testing the effectiveness of the new method.

1. Measuring Speed, Ruth Dover

More on Derivatives

Tables of values to measure rates.

Series 05, Ruth Dover

Series

Popular Maclaurin series and using substitution to create new series.

1. Coffee, Ruth Dover

Differential Equations

Newton’s Law of Cooling.

Series 06, Ruth Dover

Series

More manipulation of series – substitution, differentiation, and integration.

Series 02, Ruth Dover

Series

Repeats Series01 with the function y = arctanx.

Alternating Series 1, Ruth Dover

Series

Partial sums of alternating series.

Taylor Review, Ruth Dover

Series

Assorted problems.

Approximations 2, Ruth Dover

Integrals

Drawing rectangles and calculating Riemann sums.

Series 09, Ruth Dover

Series

Practice using series to evaluate limits and definite integrals.

Limits3, Ruth Dover

Limits

Algebraic techniques for functions with holes.

Rate Of Change 1, Ruth Dover

A Simple Introduction to Rates

No abstract provided.

4. Integral Test For Series, Ruth Dover

Series

Relating Riemann sums and series – requiring a lot of teacher help!

Approximations 1, Ruth Dover

Integrals

Measuring distance and accumulation.