MATH 1112 is the course that decides whether calculus is available to you. It is Kwantlen's higher-level foundational mathematics course, and passing it with a C satisfies Level A1 in the Math Alternatives Table — the same requirement as a B in Pre-Calculus 12. For a lot of students that one line is the whole point: it is the route into MATH 1120 for anyone whose Grade 12 transcript did not get them there directly. It is a preparation course, but it is not a soft one, and treating it as a formality is the most common way to lose a semester.
What is covered in KPU MATH 1112?
KPU describes MATH 1112 as developing the conceptual understanding and computational skills that provide a solid foundation for the study of calculus: functions, their graphs, and their applications to problem solving — in particular polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions — alongside the ability to use and understand the concepts and language of mathematics. In practice:
- Functions as objects: domain, range, composition, inverses, and what makes an inverse exist
- Transformations: shifts, stretches and reflections read off y = f(x − h) + k rather than re-plotted point by point
- Polynomial and rational functions: end behaviour, zeros and multiplicity, vertical, horizontal and slant asymptotes
- Exponential and logarithmic functions: laws of logarithms, change of base, solving equations where the unknown is an exponent, growth and decay models
- Trigonometric functions: radian measure, the unit circle, amplitude, period and phase shift, and graphing transformed sine and cosine
- Trigonometric identities and equations: Pythagorean, sum and difference, and double-angle identities, and solving over a given interval
- Inverse trigonometric functions: the restricted domains that make them functions at all
- Mathematical language: notation, precise statements, and the habit of saying what you mean — the part of the description that is easiest to skim past and hardest to fake later
Three credits, with the ASTR and QUAN attributes, so it counts toward an associate degree and satisfies a quantitative program requirement. Most sections use an open-access pre-calculus text rather than a bought one — confirm with your instructor, but it is usually a free download.
Who MATH 1112 is for, and where it leads
The prerequisite is Level C1: Pre-Calculus 12 with a C, Pre-Calculus 11 with a B, IB Mathematics at the levels KPU lists, a Math Placement Test score of 61 or higher, MATQ 1099 with a B, or MATH 1102 with a C.
Where it leads is the important part. A C in MATH 1112 meets Level A1, which is the entry requirement for MATH 1120 — and Level A1 covers everything below it, so it also opens MATH 1130 and MATH 1140. One course, three pathways.
If you are placed below Level C1, MATH 1102 is the step before this one, and the two together are a complete route from Pre-Calculus 11 to first-year calculus.
Common challenges students face in MATH 1112
It gets treated as review, and it is not
A lot of the vocabulary is familiar from Grade 11 and 12, which makes the first three weeks feel like revision. Then trigonometric identities arrive, the pace does not slow, and students who coasted through the familiar part have no momentum for the unfamiliar one.
Trigonometry is the wall
The unit circle, radian measure, identities and inverse functions are where most MATH 1112 grades are decided. Students who learned trigonometry as a set of triangle ratios in high school have to rebuild it as a set of functions on the real line, and that is a genuine conceptual shift rather than more practice.
Logarithms are memorised, not understood
Log laws get learned as three rules to apply. When an equation needs them applied in reverse, or when the unknown sits inside and outside a logarithm, the rules stop being enough.
Graphing is done by plotting points
It works, slowly, and it fails under exam time. The course wants you to read a graph off the equation — this is a parabola, shifted right two and down five, opening downward — because that is what calculus will assume you can do instantly.
"The language of mathematics" is assessed
KPU puts it in the course description for a reason. Being able to state a domain properly, use function notation correctly and write what you mean is marked, and it is the part students prepare for least.
How Learn4Less helps you succeed in MATH 1112
We find out which gap is actually the problem
Struggling in MATH 1112 is usually one specific thing — the unit circle, or log laws, or function composition — not general weakness. The first session is diagnostic, because fixing the right gap is faster than reviewing everything.
We rebuild trigonometry as functions
The unit circle, radians and the graphs get taught as one connected idea rather than three chapters, because that is the form calculus needs and the form that stops the identities feeling arbitrary.
We teach graphing by transformation
Reading a graph from its equation is a learnable skill with a short list of moves. We drill it until it is automatic, which pays for itself in every later course.
We keep the goal in view
MATH 1112 is preparation for calculus, and knowing which parts matter most later changes how you study them. We say which is which.
MATH 1112 exam and midterm preparation
Practice that matches the format
Section outlines differ in how many midterms there are and what they are worth, so your own outline is the authority. We build sessions around timed practice with unseen questions, because familiarity with the material is not the same as being able to produce it in fifty minutes.
KPU's sample finals
The KPU library holds sample finals on course reserve, searchable by instructor under the course reserves tab. They are indicative rather than predictive — KPU says the real exam may differ markedly — but they show the style, and they are free.
The mistakes that cost the most marks
Sign errors in identities, dropped restrictions on domains, solutions outside the requested interval, and answers in degrees when the question asked for radians. These are not conceptual failures, and they are very fixable once you know they are yours.
Aiming at the grade you actually need
A pass is not the goal if MATH 1120 is. You need a C to meet Level A1, and a comfortable margin above it is worth planning for, because the calculus course assumes everything here is automatic.
Why choose Learn4Less for MATH 1112 tutoring?
Pre-calculus is a subject we take seriously
We tutor pre-calculus at the high school and university level every term — Pre-Calculus 11 and Pre-Calculus 12 alongside the university foundational courses — so we know exactly which gaps break calculus later.
We teach for the course after this one
Everything in MATH 1112 is used in MATH 1120. We teach it in the form it will be needed, which is not always the form it is first presented in.
Online anywhere, in person in Vancouver
Sessions run online across Canada and the United States, with screen sharing and real-time work on the same page. In-person tutoring is available in the Vancouver area subject to tutor availability.
Free resources between sessions
Our concept reviews and calculators are open to everyone, whether or not you book.
Frequently Asked Questions
What is the difference between MATH 1102 and MATH 1112?
MATH 1102 is the lower entry point: algebra, equations, inequalities, functions, graphs and right-angle trigonometry, entered from Level E1 — Pre-Calculus 11 with a C. MATH 1112 is a level up: the full set of function families, trigonometry as functions rather than triangle ratios, and inverse trigonometric functions, entered from Level C1. MATH 1102 with a C meets Level C1, so it is the step before MATH 1112 for students who need it.
Does MATH 1112 get me into MATH 1120?
Yes. MATH 1112 with a C satisfies Level A1 in the Math Alternatives Table, which is exactly what MATH 1120 requires. It also satisfies everything below Level A1, so MATH 1130 and MATH 1140 open at the same time.
I have Pre-Calculus 12 with a C+. Should I take MATH 1112 or go straight to calculus?
A C+ in Pre-Calculus 12 meets Level B1, so MATH 1130 and MATH 1140 are open to you but MATH 1120 is not. If your program needs MATH 1120, MATH 1112 is the route. If it needs MATH 1130 or MATH 1140, you can start there — but a C+ is a thin margin for a course that assumes fluency, and a term of preparation is often the faster path overall.
Is MATH 1112 easier than MATH 1120?
It covers less new ground conceptually, but it is a real university course with a real failure rate, and the trigonometry section defeats a lot of students. It is not a formality.
Can I take the Math Placement Test instead?
Yes — a Math Placement Test score of 76 or higher meets Level A1 directly and skips MATH 1112 entirely. It is worth attempting if your pre-calculus is solid and only your transcript is the obstacle. If the material itself is shaky, the course is the better investment.
