UMGC MATH 140: Calculus I
MATH 140 is UMGC's first calculus course: limits, continuity, derivatives and their applications, and an introduction to integration through the Fundamental Theorem of Calculus. It serves the computer science and technical degree paths and assumes solid precalculus going in.
Fennie is independent and not affiliated with University of Maryland Global Campus. This is an unofficial study guide.
What makes it hard
Calculus in an 8-week session is relentless, with a major topic nearly every week, and for returning adults the real enemy is precalculus rust, because most lost exam points trace to algebra and trig slips rather than calculus concepts. There is no buffer week to relearn functions mid-session.
What you'll cover
- • Limits and continuity
- • The derivative and rules of differentiation
- • Chain rule and implicit differentiation
- • Applications: optimization and related rates
- • Antiderivatives and definite integrals
- • The Fundamental Theorem of Calculus
The MATH 140 study guide
How to study for UMGC MATH 140, step by step.
- 1
Audit your precalculus before the session opens
Work a page of factoring, exponents, and trig identities in week 0. For most returning adults the gap since precalculus is the actual difficulty of MATH 140, and it's fixable in advance.
- 2
Do calculus daily in short sessions
Derivative fluency is volume-built, and 30 minutes around a shift beats a three-hour Saturday block. The weekly topic pace assumes last week's mechanics are automatic.
- 3
Never carry a shaky topic into the next week
Limits feed derivatives feed integrals, and the 8-week calendar has no review week. If Friday finds a concept wobbly, the weekend is when it gets fixed; the next module assumes it.
- 4
Write full setups on application problems
Optimization and related rates reward routine: diagram, variables, equation, differentiate, answer the actual question. Practicing the full structure is where the partial credit lives.
Today's MATH 140 plan
What a Fennie Daily Plan looks like for MATH 140. Yours is built from your syllabus and adapts every day to your deadlines and progress.
- Review: Limits and continuityReview · 25 min
Work back through the MATH 140 material on limits and continuity. In the app, Fennie builds this from your own notes and syllabus.
- Practice: The derivative and rules of differentiationPractice · 20 min
Targeted problems on the derivative and rules of differentiation, the kind MATH 140 actually tests.
- Quick quiz: Chain rule and implicit differentiationQuiz · 10 min
Five generated questions to expose weak spots on chain rule and implicit differentiation before the exam does.
- Preview: Applications: optimization and related ratesPreview · 10 min
A first pass over applications: optimization and related rates so the next session starts from familiar ground.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is UMGC MATH 140 hard?
Calculus in 8 weeks is one of the most demanding gen-track courses UMGC offers, and rusty algebra makes it harder than the calculus itself. Daily practice and a precalculus refresh up front are the difference-makers.
What do I need before MATH 140?
Solid precalculus. UMGC's prerequisites route through college algebra and trigonometry or placement. If your last math class was years ago, refresh functions and trig before the session, not during it.
Do computer science majors need MATH 140?
Yes. It's required in UMGC's computer science degree and feeds the follow-on math sequence. Schedule it for a session when you can genuinely protect daily study time.
More UMGC courses
STAT 200: Introduction to Statistics
STAT 200 is UMGC's introductory statistics course, required across business, IT, and social science degrees: descriptive statistics, probability, distributions, confidence intervals, hypothesis testing, and regression. Weekly homework sets and quizzes carry the grade, and many sections add a data-analysis project.
MATH 107: College Algebra
MATH 107 is UMGC's college algebra course: functions and graphs, linear and quadratic equations, polynomials, exponentials, and logarithms. It satisfies the math general-education requirement for many degrees and is the prerequisite stepping stone toward statistics and technical math.