UEE Mathematics study plan

Classify and simplify algebraic expressions involving exponents, radicals, and rational forms without calculator aid

Solve linear equations and inequalities in one variable, including absolute-value cases, and graph solution sets on a number line

Factor polynomials of degree up to three using grouping, difference of squares, and sum/difference of cubes

Convert between fractions, decimals, percentages, and scientific notation accurately under timed conditions

Solve systems of two and three linear equations using substitution, elimination, and matrix row reduction

Apply the quadratic formula and discriminant to classify root types and solve word problems

Simplify rational expressions and solve rational equations while identifying extraneous solutions

Translate short word problems into equations and verify answers against the original context

Sketch graphs of linear, quadratic, cubic, exponential, logarithmic, and absolute-value functions from their equations

Determine domain, range, intercepts, symmetry, and asymptotes for each function family

Perform and interpret function composition and find inverse functions where they exist

Solve equations and inequalities graphically and confirm results algebraically

Compute limits of rational, radical, and piecewise functions using factoring, rationalizing, and one-sided analysis

Identify points of discontinuity and classify them as removable, jump, or infinite

Apply the definition of continuity at a point and on an interval to test given functions

Interpret average and instantaneous rates of change from graphs and tables

Differentiate polynomial, rational, radical, exponential, and logarithmic functions using product, quotient, and chain rules

Find equations of tangent lines and use derivatives to locate extrema and inflection points

Compute definite and indefinite integrals using substitution and the fundamental theorem of calculus

Solve applied optimization and area problems and justify each step in writing

Apply triangle congruence and similarity criteria to prove geometric relationships

Compute areas, perimeters, surface areas, and volumes of composite plane and solid figures

Use coordinate geometry to find midpoints, distances, slopes, and equations of lines and circles

Apply circle theorems involving chords, tangents, inscribed angles, and arc measures

Convert between degrees and radians and evaluate trigonometric functions at standard and reference angles

Verify trigonometric identities and solve trigonometric equations over a specified interval

Apply the laws of sines and cosines to solve oblique triangles and real-world bearing problems

Compute probabilities using addition and multiplication rules, conditional probability, and counting techniques

Calculate and interpret mean, median, mode, standard deviation, and z-scores from raw data

Complete two full-length timed practice exams under exam conditions and record per-domain scores

Rank your six domains by accuracy and rework every missed item to full correctness

Memorize and rehearse a formula sheet covering identities, derivative and integral rules, and geometry formulas

Build a one-page exam-day strategy covering time allocation, question ordering, and checking routines