Head shot of Emily Malcolm-White
Office
McCardell Bicentennial Hall 207
Tel
(802) 443-2196
Email
emalcolmwhite@middlebury.edu
Office Hours
Monday, Tuesday, Wednesday: 3:00-4:30 PM in the Q-Center in MBH

Courses Taught

Course Description

Exponents, Logarithms, and Their Applications (Half Credit)
Students will explore the fundamental concepts of exponents and logarithms and gain proficiency in algebraic manipulation of these functions. We will explore their wide-ranging applications across various fields of mathematics and real-world scenarios, including compound interest, population growth, radioactive decay and carbon dating, and the pH scale. We will discuss strategies for how to be successful as a student in a college-level math class, how to work together to solve problems, and how to harness students’ strengths for maximum efficiency in learning. Emphasis is placed on developing problem-solving skills and mathematical reasoning in preparation for calculus and related fields. (Students are encouraged, but not required, to enroll in MATH 0103 in the same semester) (by waiver)

Terms Taught

Fall 2024, Midd First Half of Term

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Course Description

Functions
Students will explore various topics essential for success in calculus. These include solving equations and inequalities, functions and their transformations, polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions and their applications. Students will develop proficiency in algebraic manipulation and graphing skills to visualize functions and analyze their characteristics. We will discuss strategies for how to be successful as a student in a college-level math class, how to work together to solve problems, and how to harness students’ personal strengths for maximum efficiency in learning. Emphasis is placed on developing problem-solving skills and mathematical reasoning in preparation for calculus and related fields. (Students are encouraged, but not required, to enroll in MATH 102 in the same semester) (by waiver)

Terms Taught

Fall 2024, Midd Second Half of Term

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Course Description

Exponents, Logarithms, Functions
Students will explore various topics essential for success in calculus. Students will explore the fundamental concepts of exponents and logarithms and explore their wide-ranging applications across various fields of mathematics and real-world scenarios, including compound interest, population growth, radioactive decay and carbon dating, and the pH scale. Solving equations and inequalities, functions and their transformations, polynomial and rational functions, and trigonometric functions and their applications will also be discussed. Students will develop proficiency in algebraic manipulation and graphing skills to visualize functions and analyze their characteristics. We will discuss strategies for how to be successful as a student in a college-level math class, how to work together to solve problems, and how to harness students’ personal strengths for maximum efficiency in learning. Emphasis is placed on developing problem-solving skills and mathematical reasoning in preparation for calculus and related fields. (Equivalent to MATH 102 + MATH 103) (by waiver)

Terms Taught

Fall 2024

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Course Description

Introduction to Statistical Science
A practical introduction to statistical methods and the examination of data sets. Computer software will play a central role in analyzing a variety of real data sets from the natural and social sciences. Topics include descriptive statistics, elementary distributions for data, hypothesis tests, confidence intervals, correlation, regression, contingency tables, and analysis of variance. The course has no formal mathematics prerequisite, and is especially suited to students in the physical, social, environmental, and life sciences who seek an applied orientation to data analysis. (Credit is not given for MATH 0116 if the student has taken ECON 0111 (formerly ECON 0210) or PSYC 0201 previously or concurrently.) 3 hrs. lect./1 hr. computer lab.

Terms Taught

Spring 2021, Fall 2021, Spring 2022, Spring 2023

Requirements

DED

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Course Description

Introduction to Data Science
In this course students will gain exposure to the entire data science pipeline: forming a statistical question, collecting and cleaning data sets, performing exploratory data analyses, identifying appropriate statistical techniques, and communicating the results, all the while leaning heavily on open source computational tools, in particular the R statistical software language. We will focus on analyzing real, messy, and large data sets, requiring the use of advanced data manipulation/wrangling and data visualization packages. Students will be required to bring alaptop (owned or college-loaned) to class as many lectures will involve in-class computational activities. (formerly MATH216) 3 hrs lect./disc. (Not open to students who have taken BIOL 1230, ECON 1230, ENVS 1230, FMMC 1230, HARC 1230, JAPN 1230, LNGT 1230, NSCI 1230, MATH 1230, SOCI 1230, LNGT 1230, PSCI 1230, WRPR 1230, or GEOG 1230.)

Terms Taught

Fall 2022, Spring 2023

Requirements

DED

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Course Description

Calculus I
Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization problems and related rates, the indefinite and definite integral, area under a curve, and the fundamental theorem of calculus. Inverse functions and the logarithmic and exponential functions are also introduced along with applications to exponential growth and decay. (by waiver) 4 hrs. lect./disc.

Terms Taught

Fall 2020, Fall 2021, Fall 2022

Requirements

DED

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Course Description

Introduction to Statistical Science (formerly MATH 0116)
A practical introduction to statistical methods and the examination of data sets. Computer software will play a central role in analyzing a variety of real data sets from the natural and social sciences. Topics include descriptive statistics, elementary distributions for data, hypothesis tests, confidence intervals, correlation, regression, contingency tables, and analysis of variance. The course has no formal mathematics prerequisite, and is especially suited to students in the physical, social, environmental, and life sciences who seek an applied orientation to data analysis. (Credit is not given for MATH 0116 if the student has taken ECON 0111 (formerly ECON 0210) or PSYC 0201 previously or concurrently.) 3 hrs. lect./1 hr. computer lab.

Terms Taught

Fall 2023, Spring 2024

Requirements

DED

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Course Description

Introduction to Data Science (formerly MATH 0118)
In this course students will gain exposure to the entire data science pipeline: forming a statistical question, collecting and cleaning data sets, performing exploratory data analyses, identifying appropriate statistical techniques, and communicating the results, all the while leaning heavily on open source computational tools, in particular the R statistical software language. We will focus on analyzing real, messy, and large data sets, requiring the use of advanced data manipulation/wrangling and data visualization packages. Students will be required to bring alaptop (owned or college-loaned) to class as many lectures will involve in-class computational activities. (formerly MATH 0216) 3 hrs lect./disc. (Not open to students who have taken BIOL 1230, ECON 1230, ENVS 1230, FMMC 1230, HARC 1230, JAPN 1230, LNGT 1230, NSCI 1230, MATH 1230, SOCI 1230, LNGT 1230, PSCI 1230, WRPR 1230, or GEOG 1230.)

Terms Taught

Fall 2023, Spring 2024

Requirements

DED

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Course Description

Regression Theory and Applications (formerly MATH 0211)
Regression is a popular statistical technique for making predictions and for modeling relationships between variables. In this course we will discuss the theory and practical applications of linear, log-linear, and logistic regression models. Topics include least squares estimation, coding for categorical predictors, analysis of variance, and model diagnostics. We will apply these concepts to real datasets using R, a statistical programming language. (MATH 0200; and MATH 0116 or STAT 0116, or STAT 0201 or MATH 0311 or STAT 0311) (Not open to students who have taken ECON 0211) 3 hrs lect./disc.

Terms Taught

Fall 2023, Fall 2024

Requirements

DED

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