South University MAT1005 College Algebra II Help

MAT1005 is the second course in South University’s algebra sequence and the bridge between foundational algebra and MAT2058 Statistics. It picks up where MAT1001 ends and immediately introduces content that feels genuinely unfamiliar to most students — exponential and logarithmic functions, systems of equations, matrices, and conic sections — all in a 5-week MyMathLab course with no midterm buffer.

1) What MAT1005 Covers: Topic-by-Topic Breakdown

MAT1005 covers the second half of the standard college algebra sequence. Students entering MAT1005 are expected to have solid command of MAT1001 content — functions, quadratics, polynomial operations — because the new material builds directly on it. The 5-week format means roughly two major topic areas per week, with MyMathLab homework due before the next module unlocks.

Polynomial and Rational Functions (Advanced)

MAT1005 opens by extending polynomial and rational function work from MAT1001. New concepts include the Remainder Theorem, the Factor Theorem, synthetic division as a tool for finding zeros, and the Rational Zero Theorem. For rational functions, the course adds asymptote analysis — identifying vertical, horizontal, and oblique asymptotes — and graphing rational functions by combining asymptote behavior with sign analysis. MyMathLab requires asymptote equations in exact form and graphs that correctly reflect end behavior.

Exponential Functions

Covers the properties of exponential functions (f(x) = b^x where b > 0 and b is not 1), graphing exponential functions and their transformations, and solving exponential equations. The natural exponential function f(x) = e^x is introduced here. Solving exponential equations requires taking logarithms of both sides and applying the power rule to bring the variable out of the exponent.

Logarithmic Functions

The inverse relationship between exponential and logarithmic functions is the conceptual core of this unit. Students who genuinely understand that log_b(y) = x means b^x = y can solve both equation types with one framework. Students who memorize procedures for each type separately often get confused when problem setups vary slightly. See the reference diagram below for the inverse relationship, key properties, and solving strategy.

Systems of Equations and Inequalities

Solving systems of two or three linear equations using substitution, elimination, and matrices. MAT1005 also covers nonlinear systems — systems that include a quadratic or other nonlinear equation alongside a linear one. For systems of inequalities, the solution is a shaded region in the coordinate plane, and MyMathLab requires identifying the correct boundary lines and shading direction. A common error is shading the wrong region when the inequality is strict (boundary line dashed and excluded) versus non-strict (solid and included).

Matrices

Matrix operations including addition, subtraction, scalar multiplication, and matrix multiplication, plus finding determinants and solving linear systems using Cramer’s Rule and inverse matrices. Matrix multiplication is not commutative — AB and BA are generally not equal — and MyMathLab will mark the wrong multiplication order as incorrect. Determinant calculations for 3×3 matrices using cofactor expansion are tedious but formula-driven once the method is learned.

Sequences, Series, and the Binomial Theorem

Arithmetic and geometric sequences and series, including formulas for the nth term and partial sums. The Binomial Theorem for expanding (a + b)^n using Pascal’s Triangle or the binomial coefficient formula. MyMathLab sequence problems require identifying whether a sequence is arithmetic (constant difference) or geometric (constant ratio) before applying the correct formula — misidentifying the type leads to a wrong formula and a wrong answer.

Conic Sections

Equations, graphs, and properties of the four conic sections: circles, parabolas, ellipses, and hyperbolas. Each conic has a standard form equation, and students must convert general form equations to standard form by completing the square. MyMathLab problems frequently ask for the coordinates of key features — center, radius, vertex, foci, vertices, asymptotes — which can only be read correctly from standard form. The reference chart below shows all four conics with their standard forms, key features, and MyMathLab-specific notes.

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2) Why MAT1005 Matters in the South University Sequence

MAT1005 sits in the middle of South University’s math prerequisite chain. Passing it with a C or better opens the door to MAT2058 Statistics, which is itself the gateway to BSN nursing admission and to upper-division courses in business, psychology, public health, and IT. A failed MAT1005 delays everything downstream by at least one quarter.

The prerequisite chain runs through MAT1005

MAT1005 introduces more new content than any other course in the sequence

The content jump from MAT1001 to MAT1005 is larger than most students expect going in. MAT1001 covers three broad concept areas over 5 weeks — equations/inequalities, functions, and quadratics/polynomials. MAT1005 covers seven — advanced polynomials/rationals, exponential functions, logarithms, systems and matrices, sequences and series, the Binomial Theorem, and conic sections. That’s more than twice the conceptual surface area in the same 5-week format.

Students who managed MAT1001 independently often find MAT1005 requires more support than they anticipated. Logarithms, matrices, and conic sections have no direct equivalent in anything covered before MAT1005 — they are genuinely new territory, not extensions of familiar ideas.

The 5-week format gives no recovery time

In a standard semester, a student who struggles with logarithms has weeks to catch up. In South University’s 5-week quarter, logarithms may be covered in Week 2 with a quiz due before Week 3 opens. Students frequently contact FMMC after a difficult quiz in Week 2 with three weeks still remaining — which is enough time to protect the final grade if support starts immediately.

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3) Where Students Lose Points in MAT1005

MAT1005 has both format-based errors (the same MyMathLab platform pitfalls as MAT1001) and genuinely new conceptual traps introduced by the harder content. The examples below cover the most common loss points.

Logarithm argument errors

When solving logarithmic equations, the solution must be checked against the original equation because the argument of a logarithm must be strictly positive. A solution that makes any log argument zero or negative is extraneous and must be excluded. MyMathLab marks any extraneous solution as wrong even if the algebraic steps that produced it were correct.

Confusing exponential and log solving steps

Exponential equations are solved by taking logarithms of both sides. Logarithmic equations are solved by converting to exponential form. Students who mix the two approaches produce expressions that cannot be simplified to a clean answer. MyMathLab does not award partial credit for a nearly-correct method.

Matrix multiplication order

Matrix multiplication is not commutative. The product AB is not the same as BA, and MyMathLab will mark the reversed order wrong every time. The number of columns in the first matrix must equal the number of rows in the second, and the result takes the dimensions of the first matrix’s rows by the second matrix’s columns.

Conic section standard form errors

MyMathLab conic section problems frequently present equations in general form and require conversion to standard form before identifying key features. Students who skip the completing-the-square step and try to read features directly from the general form get wrong coordinates. The sign of each term also determines the conic type and orientation — swapping which term is positive in a hyperbola equation changes whether the branches open horizontally or vertically.

Arithmetic vs. geometric sequence confusion

Arithmetic sequences have a constant difference between terms; geometric sequences have a constant ratio. The formulas for nth term and sum are completely different for each type. Identifying the wrong type means applying the wrong formula — and MyMathLab has no partial credit for the right method on the wrong sequence type.

For more on MyMathLab platform requirements: MyMathLab Help

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4) How FMMC Helps With MAT1005

MAT1005 is the most content-dense course in the South University algebra sequence. FMMC’s experts handle both the platform requirements and the harder conceptual material — logarithms, matrices, and conics — that cause the most difficulty in the 5-week format.

For a full overview of all South University math courses, see the South University Math Help hub.

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FAQ: South University MAT1005 College Algebra II Help

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