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Montana State University · Fall 2026 · math

M151Q Precalculus: study guide

Functions, exponentials, logarithms and trigonometry, section by section from the course text. Every topic below is a free study page; the same material lives in the Mathub app with practice, flashcards, the calendar and a grade calculator for this class.

InstructorJenna Stitt
MeetsIn-class sessions with quizzes and worksheets; exams on Thursdays
Credits4
Topics25

Exams and major deadlines

ExamWhenCovers
Exam 1Thursday, September 24 (in class)functions and graphs, rate of change, linear functions, nonlinear models, transformations, absolute value, domain and range (MFG 1.2 – 2.6)
Exam 2Thursday, October 22 (in class)variation, exponents and radicals, exponential functions, logarithms, exponential models, inverse functions, logarithmic functions (MFG 3.1 – 5.3)
Exam 3Thursday, November 19 (in class)quadratic, polynomial and rational functions, complex numbers, triangles, right-triangle trigonometry (MFG 6.1 – 7.5, TRIG 1.1 – 2.3)
Final ExamFinals week (Dec 14 – 18), at your section’s assigned timelaws of sines and cosines, trigonometric and circular functions, identities, radians, sinusoids, inverse trig, quadratic-in-form equations (TRIG 3.1 – 8.3), plus earlier material

What Mathub gives you for M151Q

Open Precalc in MathubClass calendar

Unit 1: Functions, graphs, models

  1. MFG 1.2–1.3Functions and their graphs
  2. MFG 1.4–1.5Slope, rate of change, and linear functions
  3. MFG 2.1–2.2Nonlinear models and the basic functions
  4. MFG 2.3Transformations of graphs
  5. MFG 2.5–2.6Absolute value, domain, and range

Unit 2: Powers, exponentials, logarithms

  1. MFG 3.1Variation
  2. MFG 3.2–3.4Exponents, roots, radicals, and rational exponents
  3. MFG 4.1–4.2Exponential growth, decay, and exponential functions
  4. MFG 4.3–4.4Logarithms and their properties
  5. MFG 4.5Exponential models
  6. MFG 5.1Inverse functions
  7. MFG 5.2–5.3Logarithmic functions and the natural base

Unit 3: Quadratics, polynomials, triangles

  1. MFG 6.1–6.3Quadratic functions: factors, roots, and parabolas
  2. MFG 7.1–7.2Polynomial functions and their graphs
  3. MFG 7.3Complex numbers
  4. MFG 7.4–7.5Rational functions and equations with algebraic fractions
  5. TRIG 1.1–1.3Angles, triangles, similar triangles, and circles
  6. TRIG 2.1–2.3Trigonometric ratios and solving right triangles

Unit 4: Trigonometric functions

  1. TRIG 3.1–3.3Obtuse angles, Law of Sines, Law of Cosines
  2. TRIG 4.1–4.3Angles, rotation, and the graphs of trigonometric functions
  3. TRIG 5.1, 5.3Algebra with trig ratios and trigonometric identities
  4. TRIG 6.1–6.3Arclength, radians, and the circular functions
  5. TRIG 7.1–7.3Transformations, the general sinusoid, and solving equations
  6. TRIG 8.2–8.3Inverse trigonometric functions and the reciprocal functions
  7. Quadratic-in-formQuadratic-in-form equations, trigonometric and algebraic