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Andrew H. Volk

MATH 130 · Fall 2026

Advanced Technical Mathematics

Everything for the course, by unit. Quizzes are on paper in class, and ALEKS work is due at 2:10 p.m. unless noted. Canvas and the syllabus are the official record for due dates and grades.

Unit 1: Algebra, functions, and coordinate geometry

Algebra foundations Chapter R · ALEKS R.1–R.5 and Quiz 1 Wed, Sep 2
Equations with fractions, roots, and quadratics Sections 1.1–1.4 · ALEKS R.6, 1.1/1.2/1.4 and Quiz 2 Wed, Sep 9

By the end, you can

  • Solve equations with fractions and check for excluded values.
  • Rearrange a formula to solve for a named variable.
  • Solve quadratic equations by factoring, completing the square, or the quadratic formula.
Open Unit 1
Lines, functions, and coordinate geometry Sections 2.1–2.4 · ALEKS 2.1/2.2/2.4 and Quiz 3 Wed, Sep 16

By the end, you can

  • Find the distance and midpoint between two points.
  • Write the equation of a circle from its center and radius.
  • Write equations of lines, including parallel and perpendicular lines.
Open Unit 1
Test 1 review Test 1 · ALEKS 2.5/3.1 Wed, Sep 23 · Quiz 4 (take-home) Wed, Sep 23, 3:15 p.m. · Test 1 (in class) Fri, Sep 25

By the end, you can

  • Choose a method for mixed problems from Chapter R through Section 2.5.
  • Find the maximum height of a projectile from a quadratic model.
  • Write each Unit 1 formula from memory, since none are provided on the test.
Open the full review

Unit 2: Interest, logarithms, polygons, and circles

Exponential functions and interest Section 4.2 · Quiz 5 Wed, Sep 30 · ALEKS 4.2 Fri, Oct 2

By the end, you can

  • Evaluate and graph exponential functions.
  • Compute simple, compound, and continuously compounded interest.
Open Unit 2
Logarithmic functions Section 4.3 · ALEKS 4.3 and Quiz 6 Wed, Oct 7

By the end, you can

  • Convert between logarithmic and exponential form.
  • Evaluate logarithms, including with the change-of-base formula.
  • Solve exponential equations using logarithms.
Open Unit 2
Angles and polygons Geometry, part 1 · Quiz 7 Wed, Oct 14

By the end, you can

  • Use angle relationships, including parallel lines, to find unknown angles.
  • Find the angle sums and areas of polygons.
  • Solve proportions with similar triangles.
Open Unit 2
Circles, radians, and solids Geometry, part 2 · Quiz 8 Wed, Oct 21
Test 2 review Test 2 · Quiz 9 (circles take-home) Wed, Oct 28 · ALEKS geometry and Test 2 Fri, Oct 30

By the end, you can

  • Choose a method for mixed exponential, logarithm, and geometry problems.
  • Correct each missed problem and explain the error.
Open the full review

Unit 3: Trigonometry, applications, and vectors

Angles and trigonometric functions Sections 5.1–5.3 · ALEKS 5.1/5.2 and Quiz 10 Wed, Nov 11

By the end, you can

  • Sketch angles in standard position and find coterminal angles.
  • Find sine, cosine, and tangent ratios in a right triangle.
  • Use reference angles and quadrant signs to evaluate trigonometric functions.
Open Unit 3
Right triangle applications Sections 5.3 and 5.7 · ALEKS 5.3/5.7 and Quiz 11 Wed, Nov 18

By the end, you can

  • Find a missing side or angle of a right triangle with a trigonometric ratio.
  • Solve word problems with angles of elevation and depression.
Open Unit 3
Applications and vectors Sections 7.1 and 8.4 · ALEKS 7.1 Mon, Nov 30 · ALEKS 8.4 and Quiz 12 Wed, Dec 2

By the end, you can

  • Solve right triangles and bearing problems.
  • Write vectors in component form, then add and scale them.
  • Find a vector's magnitude and direction angle.
Open Unit 3
Test 3 review Test 3 · Quiz 13 (readiness check) Mon, Dec 7 · Test 3 Wed, Dec 9

By the end, you can

  • Choose a method for mixed trigonometry, application, and vector problems.
  • Use Quiz 13 to find and fix weak areas before Test 3.

Main slides and notes

Practice and tools

Open the full review

Final exam

Final exam review Final · Final exam Mon, Dec 14, 1:00 p.m.

By the end, you can

  • Recall the formulas and problem types from all three units.
  • Work mixed final exam practice under time limits.
Open the full review