MA141 – Analytic Geometry and Vectors
Lecture, University of Campinas, Institute of Mathematics, Statistics and Scientific Computing, 2025
Course Information - Class D
- Professor: Wagner Alan Aparecido da Rocha
- Contact: wdarocha at ime.unicamp.br
- Schedule: Tuesdays and Thursdays, 08:00–10:00
- Location: Room CB01
- Office Hours: To be arranged
- Assistant: Rafael Froner Prando
- Contact: r197034 at dac.unicamp.br
- Tutor: Maycon Bruno da Silva Santos
- Contact: m251499 at dac.unicamp.br
Course Overview
Analytic Geometry studies Euclidean geometry through coordinate systems, enabling the description of geometric phenomena via algebraic equations. In addition to formalizing fundamental concepts of linear algebra, this subject finds direct applications in Physics, Statistics, and Computer Science, among many other fields. For most students, this course represents their first encounter with more abstract and formal mathematical structures.
Syllabus
Matrices and linear systems. Vectors and operations. Bases and coordinate systems. Distance, norm, and angle. Dot and cross products. Lines in the plane and in space. Planes. Relative positions, intersections, distances, and angles. Circle and sphere. Polar, cylindrical, and spherical coordinates. Conic sections and classification. Introduction to quadrics.
Textbook
- Reginaldo J. Santos. Matrizes, Vetores e Geometria Analítica, Imprensa Universitária da UFMG.
Additional References
- P. Boulos & I. C. Oliveira, Geometria Analítica – Um Tratamento Vetorial, McGraw-Hill, São Paulo, 2nd ed., 2000
- L. Leithold, O Cálculo com Geometria Analítica, Vol. 1, Harbra, São Paulo, 2nd ed., 1977
- C. Wexler, Analytic Geometry – A Vector Approach, Addison-Wesley, 1964
Use of References and Materials
There are many excellent books covering the syllabus and content. Students are encouraged to study from their own class notes, the textbook, and any additional material provided by the instructor. The use of online platforms, including AI-powered tools, for solving exercises is strongly discouraged.
Lecture Format
The course will be delivered in person. In exceptional cases, remote lectures may be considered.
Practical Component
Students are expected to practice independently by solving exercises from the textbook and problem sets. They are encouraged to seek support during office hours and tutoring sessions. Lectures will focus on content development but may include time for problem solving and questions.
Tutoring
This course will be assisted by a PAD tutor (Teaching Support Program) and a PED teaching assistant (Teaching Internship Program). Their scheduled availability is listed below:
\[\begin{array}{|c|c|c|c|c|c|} \hline \textbf{Time} & \textbf{Monday} & \textbf{Tuesday} & \textbf{Wednesday} & \textbf{Thursday} & \textbf{Friday} \\ \hline 12\text{h}-13\text{h} & & & \begin{array}{c} \text{PAD} \\ 125\text{ IMECC} \end{array} & & \begin{array}{c} \text{PAD} \\ \text{PB}03 \end{array} \\ \hline 13\text{h}-14\text{h} & \begin{array}{c} \text{PAD} \\ 125\text{ IMECC} \end{array} & \begin{array}{c} \text{PED} \\ 125\text{ IMECC} \end{array} & \begin{array}{c} \text{PAD} \\ 125\text{ IMECC} \end{array} & \begin{array}{c} \text{PED} \\ 125\text{ IMECC} \end{array} & \begin{array}{c} \text{PAD} \\ \text{PB}03 \end{array} \\ \hline 18\text{h}-19\text{h} & \begin{array}{c} \text{PAD} \\ 125\text{ IMECC} \end{array} & \begin{array}{c} \text{PAD} \\ 325\text{ IMECC} \end{array} & \begin{array}{c} \text{PAD} \\ 125\text{ IMECC} \end{array} & \begin{array}{c} \text{PAD} \\ 325\text{ IMECC} \end{array} & \\ \hline \end{array}\]Grading Policy
Grades will be based on assignments and attendance. Throughout the semester, students will complete two assignments and one exam. Each assessment will be graded on a scale from \(0\) to \(10\):
- \(T_1\): First assignment
- \(T_2\): Second assignment
- \(P\): Exam
The semester grade \(\text{MS}\) will be computed as:
\[\text{MS} = \max \big\{ 0.2 \cdot T_1 + 0.2 \cdot T_2 + 0.6 \cdot P,\ P \big\}\]Evaluation criteria:
- \(\text{MS} \geq 6\): Passed, grade recorded
- \(2.5 \leq \text{MS} < 6\): Final decision based on final exam
- \(\text{MS} < 2.5\): Failed, grade recorded
If a Final Exam \(\text{EF}\) is required: The semester grade \(\text{MS}\) will be computed as:
\[\text{MF} = \dfrac{\text{MS} + \text{EF}}{2}\]The minimum attendance required is \(\mathbf{75\%}\), corresponding to \(\mathbf{45}\) class hours.
Absences on Assessment Days
Students who miss an assessment due to medical reasons must submit a medical certificate to the instructor within five business days. If accepted, the exam grade may be replaced by the Final Exam grade. In case of absence during assignment deadlines, a replacement activity may be provided at the instructor’s discretion.
Schedule
- August
→ Tue, 05: Matrices Review – Basic Operations
→ Thu, 07: Matrices Review – Basic Operations
→ Tue, 12:
→ Thu, 14:
→ Tue, 19:
→ Thu, 21:
→ Tue, 26:
→ Thu, 28: - September
→ Tue, 02:
→ Thu, 04:
→ Tue, 09: First assignment (\(T_1\))
→ Thu, 11:
→ Tue, 16:
→ Thu, 18:
→ Tue, 23:
→ Thu, 25:
→ Tue, 30: - October
→ Thu, 02:
→ Tue, 07:
→ Thu, 09:
→ Tue, 14:
→ Thu, 16: Second assignment (\(T_2\))
→ Tue, 21:
→ Thu, 23:
→ Thu, 30: - November
→ Tue, 04:
→ Thu, 06:
→ Tue, 11:
→ Thu, 13:
→ Tue, 18:
→ Tue, 25:
→ Thu, 27: Exam (\(P\)) - December
→ Tue, 02: No class – Study Week
→ Thu, 04: No class – Study Week
→ Tue, 09: Final Exam (\(\text{EF}\)) - (If needed) Make-up assessment will be held alongside the Final Exam
Final Remarks
Students requiring learning accommodations due to barriers affecting their academic experience may request specialized support. Unicamp is committed to providing an accessible, equitable, and inclusive academic environment.
For more information, visit:
https://deape.unicamp.br/vida-estudantil/acessibilidade-\text{PED}agogica/paee/
For questions or guidance, contact: paee@unicamp.br