Odd and Even Functions — Study Resources & PYQs
Use of odd and even function properties in Fourier series.
- Estimated study time: 30 minutes
Study resources
- Fourier Series playlist contents - Dr. Gajendra Purohit (Class Central index) (Article) — A clean index of every video in GP Sir's Fourier playlist, including the even/odd function lectures. Use this page to find and jump to a specific topic quickly.
- Fourier Series 2.0 - Dr. Gajendra Purohit (GP Sir) (Video) — Covers odd and even functions as part of the main Fourier chapter playlist, right before half range series.
- LibreTexts — When is it a Fourier Series? (Article) — Fourier series, coefficients, convergence and Parseval's lemma.
- MIT OpenCourseWare — Fourier Series and Partial Differential Equations (Article) — MIT course materials covering Fourier series and partial differential equations.
Odd and Even Functions previous year questions
- a) Solve: $x^2 p^2 = z(z - qy)$. b) Solve: $(y-z)yzp + (z-x)zxq = (x-y)xy$ c) Obtain p.d.e. by eliminating 'f and g' from $z = f(2x+y) + g(x-3y)$.
- a) Using elementary column transformation, compute the inverse of $\begin{bmatrix} 1 & 2 & 5 \\ 3 & 1 & 4 \\ 1 & 1 & 2 \end{bmatrix}$. b) Find all the eigen va…
- Draw the graph of the series: $f(x) = \begin{cases} -x, & -2 \le x < -1 \\ 2 - x^2, & -1 \le x \le 1 \\ x, & 1 < x \le 2 \end{cases}$ Is it even or odd? Also e…
- Define a linear transformation and it kernel. Also show that the kernel of a linear transformation is vector subspace of the vector space.
- Show that a linear transformation is invertible iff it is one one and onto.
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu