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REE · Subject 1 of 6

Engineering Mathematics

Algebra, trigonometry, analytic geometry, calculus, complex numbers, and advanced engineering math.

Free sectionThis entire subject is free — read every lesson and take the section test, no purchase needed.

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  1. 1Study each lesson4 lessons, each with its own quiz
  2. 2Section practice test3 sets over the whole subject
  3. 3Prove it on the mockTimed, scored like the real exam

What this subject covers

  • Algebra, complex numbers, and matrices
  • Trigonometry and analytic geometry
  • Differential and integral calculus
  • Differential equations and Laplace transforms
  • Probability, statistics, and engineering economy

Study lessons

  1. 1

    Algebra, Complex Numbers, and Matrices: Quadratics, Progressions, Phasors, and DeterminantsFree

    Master the algebra toolkit the REE math group leans on hardest, quadratics, progressions, logarithms, complex-number phasor arithmetic with j, and matrix and determinant methods for solving simultaneous equations.

    15 min
  2. 2

    Calculus and Differential Equations: Derivatives, Optimization, Integrals, ODEs, and Laplace BasicsFree

    Build the calculus chain the REE math group rewards most, limits and derivatives, optimization, definite integrals for area and volume, first-order differential equations, and the Laplace-transform basics that carry straight into transient circuit analysis.

    15 min
  3. 3

    Trigonometry and Analytic GeometryFree

    Lock down the trigonometry and analytic geometry the REE math group tests hardest, angle measure in degrees and radians, the six functions and their identities, solving right and oblique triangles with the law of sines and law of cosines, inverse trig, and the coordinate geometry of lines, circles, and the conic sections.

    16 min
  4. 4

    Probability, Statistics, and Engineering EconomyFree

    Bank the applied-math points in the REE Mathematics group, counting with permutations and combinations, the probability rules of addition, multiplication, complement, and conditioning, descriptive statistics and the normal distribution, and engineering economy from simple and compound interest through annuities, three depreciation methods, rate of return, and break-even.

    17 min

Section practice test

3 test sets covering the whole Engineering Mathematics section, 90 original questions with explanations. After you finish the lessons above, prove it here. Randomized every run.

Engineering Mathematics: Test A

Item 01 / 30 · Score 0

Matrices and determinants

Evaluate the determinant of the 3x3 matrix with rows [2,0,1], [3,1,2], [1,0,1].